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In ΔABC, AC = BC and ∠C = 110°. Find ∠A and ∠B.
In figure (i) and (ii), Find the values of a, b and c.
In ∆ABC, write the following:
(a) Angle opposite to side BC.
(b) The side opposite to ∠ABC.
(c) Vertex opposite to side AC.
The length of the diagonals of a rhombus is 42 cm and 40 cm. Find the perimeter of the rhombus.
A 15 m long ladder reached a window 12 m high from the ground on placing it against a wall at a distance a. Find the distance of the foot of the ladder from the wall
A tree is broken at a height of 5 m from the ground and its top touches the ground at a distance of 12 m from the base of the tree. Find the original height of the tree.
Which of the following cannot be the sides of a triangle?
(i) 4.5 cm, 3.5 cm, 6.4 cm
(ii) 2.5 cm, 3.5 cm, 6.0 cm
(iii) 2.5 cm, 4.2 cm, 8 cm
In the following figure, find the unknown angles a and b, if l||m.
Classify the following triangle on the bases of sides
One of the equal angles of an isosceles triangle is 50°. Find all the angles of this triangle.
In the given right-angled triangle ABC, ∠B = 90°. Find the value of x.
In the given figure, find x.
I have three sides. One of my angle measure 15°. Another has a measure of 60°. What kind of a polygon am I? If I am a triangle, then what kind of triangle am I?
The sides of a triangle are in the ratio 3 : 4 : 5. State whether the triangle is right-angled or not.
In the given diagrams, find the value of x in each case.
Two sides of a triangle are 4 cm and 7 cm. What can be the length of its third side to make the triangle possible?
Find whether the following triplets are Pythagorean or not?
(a) (5, 8, 17)
(b) (8, 15, 17)
In the given figure, name the median and the altitude. Here E is the midpoint of BC.
AD is the median of a ΔABC, prove that AB + BC + CA > 2AD (HOTS)
