Question
GeneralGeneralGeneral

Similar triangle ABC is similar to XYZ. If AC=9cm, BC=5cm and YZ = 7cm, what is the length of XZ?

Verified Answer

Since triangle ABC - triangle XYZ, corresponding sides are proportional.

Step 1: Identify corresponding sides

From similarity:

  • AC ↔ XZ
  • BC ↔ YZ

Step 2: Use proportionality

AC / BC = XZ / YZ

So,

9 / 5 = XZ / 7

Step 3: Solve

XZ = (9 × 7) / 5
XZ = 63 / 5
XZ = 12.6 cm

Final Answer:

XZ = 12.6 cm

Key Takeaway:

In similar triangles, use ratio of corresponding sides to find unknown lengths.