Question

∆ABC is similar to ∆xyz if AC=9cm BC=5cm and YZ=7cm find the length of XZ

Answer 1

∆ABC is similar to ∆xyz

AC=9cm

BC=5cm

XZ =?

The two triangles ΔABC and ΔXYZ are similar. Consequently:

AB/XY=BC/YZ=AC/XZ [ The side lengths of two similar triangles are ] proportional.

BC/YZ=5/7=AC/XZ=9/XZ

⇒BC/YZ=AC/XZ =5/7 =9/XZ

⇒XZ =9*7/5 cm

⇒XZ =63/5 cm

⇒XZ =12.6 cm Ans