Class 8 Maths Chapter 2 The Baudhayana Pythagoras Theorem MCQs with Answers

The Baudhayana Pythagoras Theorem is an important chapter in CBSE Board Class 8 Maths Ganita Prakash Part 2 that helps students understand the relationship between the sides of a right-angled triangle. This chapter explains how the square of the longest side (hypotenuse) is equal to the sum of the squares of the other two sides.

Practicing Class 8 Maths Chapter 2 The Baudhayana Pythagoras Theorem MCQs with Answers helps students revise important concepts, formulas, and applications of the theorem in a simple way. These MCQs are designed to improve calculation skills and build confidence for school exams.

Students can also explore more Class 8 MCQs to strengthen their understanding of different subjects. Regular practice of Class 8 Maths MCQs helps in quick revision and improves accuracy while solving different types of questions.

Chapter 2 The Baudhayana Pythagoras Theorem Class 8 Maths MCQs

Practice these MCQs to revise important concepts of The Baudhayana Pythagoras Theorem, right-angled triangles, hypotenuse, and Baudhayana triples.

Q. Which relationship is true for the sides of a right-angled triangle according to The Baudhayana Pythagoras Theorem?

A. a² − b² = c²
B. a² + b² = c²
C. a + b + c = 0
D. a × b = c²

Answer: B. a² + b² = c²

Explanation: The Baudhayana Pythagoras Theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides of a right-angled triangle.

Q. Which side of a right-angled triangle is known as the hypotenuse?

A. The shortest side
B. The side opposite to the right angle
C. Any side of the triangle
D. The side forming the right angle only

Answer: B. The side opposite to the right angle

Explanation: The hypotenuse is always opposite to the 90° angle and is the longest side of a right-angled triangle.

Q. Which of the following sets of numbers is a Baudhayana triple?

A. 4, 5, 6
B. 6, 7, 9
C. 5, 12, 13
D. 3, 5, 8

Answer: C. 5, 12, 13

Explanation: A Baudhayana triple satisfies a² + b² = c². Here, 5² + 12² = 25 + 144 = 169, which is equal to 13².

Q. Find the hypotenuse of a right triangle whose other two sides are 8 cm and 15 cm.

A. 19 cm
B. 23 cm
C. 17 cm
D. 15 cm

Answer: C. 17 cm

Explanation: Using the formula c² = a² + b², we get 8² + 15² = 64 + 225 = 289. Therefore, c = √289 = 17 cm.

Q. The Baudhayana Pythagoras Theorem is mainly used for which type of triangle?

A. Equilateral triangle
B. Right-angled triangle
C. Isosceles triangle only
D. Any random triangle

Answer: B. Right-angled triangle

Explanation: This theorem explains the relationship between the three sides of a right-angled triangle.

Q. A triangle has sides 9 cm, 12 cm, and 15 cm. What type of triangle is it?

A. Right-angled triangle
B. Equilateral triangle
C. Obtuse triangle
D. Not a triangle

Answer: A. Right-angled triangle

Explanation: Since 9² + 12² = 81 + 144 = 225 and 15² = 225, these sides satisfy the Baudhayana Pythagoras Theorem.

Q. If the hypotenuse of a right triangle is 13 cm and one side is 5 cm, find the other side.

A. 8 cm
B. 10 cm
C. 12 cm
D. 15 cm

Answer: C. 12 cm

Explanation: Using c² = a² + b², 13² = 5² + b². Therefore, b² = 169 − 25 = 144, so b = 12 cm.

Q. What are numbers that satisfy the relation a² + b² = c² called?

A. Prime numbers
B. Odd numbers
C. Baudhayana triples
D. Composite numbers

Answer: C. Baudhayana triples

Explanation: Three numbers that follow the relation a² + b² = c² are called Baudhayana triples.

Q. Which one is a primitive Baudhayana triple?

A. 10, 24, 26
B. 6, 8, 10
C. 12, 16, 20
D. 7, 24, 25

Answer: D. 7, 24, 25

Explanation: A primitive Baudhayana triple has no common factor other than 1. The numbers 7, 24, and 25 satisfy this condition.

Q. A ladder placed against a wall forms a right triangle. Which theorem can help find the ladder length?

A. Area formula
B. Baudhayana Pythagoras Theorem
C. Percentage method
D. Algebraic identity only

Answer: B. Baudhayana Pythagoras Theorem

Explanation: The wall, ground, and ladder create a right-angled triangle, so the theorem can be used to calculate the unknown length.

Q. If the sides of a right triangle are 12 cm and 16 cm, what is its hypotenuse?

A. 18 cm
B. 20 cm
C. 22 cm
D. 24 cm

Answer: B. 20 cm

Explanation: 12² + 16² = 144 + 256 = 400. The square root of 400 is 20, so the hypotenuse is 20 cm.

Q. Which side is always the longest in a right-angled triangle?

A. Base
B. Perpendicular
C. Hypotenuse
D. Equal side

Answer: C. Hypotenuse

Explanation: The hypotenuse is the longest side because it lies opposite the largest angle, which is the right angle.

Q. The square of 15 is:

A. 125
B. 200
C. 225
D. 250

Answer: C. 225

Explanation: The square of a number is found by multiplying the number by itself. Therefore, 15² = 15 × 15 = 225.

Q. Which set of numbers does not represent a Baudhayana triple?

A. 3, 4, 5
B. 8, 15, 17
C. 6, 10, 12
D. 20, 21, 29

Answer: C. 6, 10, 12

Explanation: For 6, 10, and 12, the sum of squares of smaller sides is not equal to the square of the largest side.

Q. A square is constructed on the diagonal of another square. The area of the new square becomes:

A. Half of original area
B. Equal to original area
C. Twice the original area
D. Four times the original area

Answer: C. Twice the original area

Explanation: According to the theorem, the square on the diagonal of a square has twice the area of the original square.

Q. Which branch of Mathematics includes the Baudhayana Pythagoras Theorem?

A. Geometry
B. Statistics
C. Probability
D. Data handling

Answer: A. Geometry

Explanation: The theorem deals with shapes, triangles, sides, and measurements, which are concepts of Geometry.

Q. The approximate value of √2 is:

A. 1.414
B. 2.236
C. 3.142
D. 1.732

Answer: A. 1.414

Explanation: The value of √2 is an irrational number and its commonly used approximate value is 1.414.

Q. If a person walks 6 km east and then 8 km north, find the shortest distance from the starting point.

A. 12 km
B. 10 km
C. 14 km
D. 16 km

Answer: B. 10 km

Explanation: The path forms a right triangle. Using the theorem, distance² = 6² + 8² = 100, so distance = 10 km.

Q. In a right triangle, if a and b are smaller sides, then c represents:

A. Area
B. Angle
C. Hypotenuse
D. Perimeter

Answer: C. Hypotenuse

Explanation: In the formula a² + b² = c², c represents the hypotenuse or longest side of the right triangle.

Q. Which statement about every Baudhayana triple is correct?

A. It contains only prime numbers
B. It satisfies a² + b² = c²
C. All numbers are always equal
D. It contains only even numbers

Answer: B. It satisfies a² + b² = c²

Explanation: Baudhayana triples are groups of three numbers that follow the relationship given by the theorem.

Q. A triangle has sides 11 cm, 60 cm, and 61 cm. It is:

A. Right-angled triangle
B. Equilateral triangle
C. Invalid triangle
D. Square-shaped triangle

Answer: A. Right-angled triangle

Explanation: 11² + 60² = 121 + 3600 = 3721, and 61² = 3721. Hence, it forms a right-angled triangle.

Q. What happens to the hypotenuse if both shorter sides of a right triangle are doubled?

A. It becomes half
B. It also doubles
C. It becomes zero
D. It remains unchanged

Answer: B. It also doubles

Explanation: When all sides of a right triangle increase by the same scale factor, the new triangle remains proportional.

Q. Which ancient Indian mathematician is associated with this theorem?

A. Aryabhata
B. Baudhayana
C. Brahmagupta
D. Bhaskara

Answer: B. Baudhayana

Explanation: Baudhayana described this important geometrical relationship involving the sides of right-angled triangles.

Q. Find the missing side if the hypotenuse is 25 cm and one side is 7 cm.

A. 20 cm
B. 22 cm
C. 24 cm
D. 26 cm

Answer: C. 24 cm

Explanation: 25² − 7² = 625 − 49 = 576. The square root of 576 is 24 cm.

Q. Which angle is present in a right-angled triangle?

A. 45° only
B. 60° only
C. 90°
D. 180°

Answer: C. 90°

Explanation: A right-angled triangle always contains one angle measuring exactly 90 degrees.

Q. Which of the following is a scaled Baudhayana triple?

A. 4, 5, 7
B. 30, 40, 50
C. 5, 8, 10
D. 2, 4, 5

Answer: B. 30, 40, 50

Explanation: 30, 40, and 50 are obtained by multiplying the triple 3, 4, 5 by 10.

Q. The area of the square on the hypotenuse is equal to:

A. Area difference of other squares
B. Product of all sides
C. Sum of areas of squares on other two sides
D. Perimeter of triangle

Answer: C. Sum of areas of squares on other two sides

Explanation: The theorem explains that the square made on the hypotenuse has an area equal to the total area of squares on the other two sides.

Q. Find the hypotenuse of an isosceles right triangle whose equal sides are 5 cm.

A. 5√2 cm
B. 10 cm
C. 15 cm
D. 20 cm

Answer: A. 5√2 cm

Explanation: For an isosceles right triangle, hypotenuse² = 5² + 5² = 50. Therefore, hypotenuse = 5√2 cm.

Q. Which concept helps calculate the diagonal of a square?

A. Average
B. Baudhayana Pythagoras Theorem
C. Ratio only
D. Percentage

Answer: B. Baudhayana Pythagoras Theorem

Explanation: The diagonal divides a square into two right triangles, so the theorem can be used to find the diagonal length.

Q. Practicing The Baudhayana Pythagoras Theorem MCQs helps students improve:

A. Only memorisation
B. Concept understanding and problem-solving
C. Drawing speed only
D. Guessing ability

Answer: B. Concept understanding and problem-solving

Explanation: MCQ practice helps students revise formulas, understand applications, and solve different types of questions confidently.

Quick Revision Before Solving The Baudhayana Pythagoras Theorem MCQs

Before solving questions, students should remember some important points from this chapter.

Important Formula: a² + b² = c²

Where:

c represents the hypotenuse (longest side)

a and b represent the other two sides of the right-angled triangle

Key Concepts:

• The theorem works only for right-angled triangles.
• The hypotenuse is always opposite to the right angle.
• Baudhayana triples are numbers that satisfy a² + b² = c².
• Examples of triples are 3,4,5 and 5,12,13.
• The theorem is useful for solving real-life measurement problems.

Important Topics Covered in Class 8 Maths Chapter 2 The Baudhayana Pythagoras Theorem | Ganita Prakash Part 2

How These MCQs Help Students Prepare Better

• Improves Concept Clarity: These MCQs help students understand the Baudhayana Pythagoras Theorem through different types of questions instead of only memorising the formula.
• Helps in Quick Revision: Chapter-wise MCQs make revision easier before class tests and exams. Students can quickly check important concepts from the chapter.
• Improves Calculation Accuracy: Practicing numerical questions improves speed and reduces small calculation mistakes.
• Builds Exam Confidence: Solving different MCQ patterns helps students become familiar with question formats asked in school exams.