Question

TriangleABC ~triangleDEF and the areas of the triangles are 64cm^2 and 100cm^2 respectively
If EF = 12cm then find BC

Answer 1

Theorem:- The ratio of the area of two similar triangles are equal to the ratio of the squares of their corresponding sides.

Given:- ∆ABC ~∆DEF and their areas are 64cm² and 100cm² respectively,EF=12cm

TO FIND:- BC=?

From the theorem (mentioned above) we get,

→bc²/ef²= 64/100

→bc²/12²=64/100

→bc²=64/100 x 144

→bc²=92.16

→bc=9.6cm

Therefore,the measurement of bc= 9.6cm