Question

EXAMPLE 1
If the areas of two similar triangles are in the ratio 25: 64, find the
ratio of their corresponding sides.​

Answer 1

Let the triangles be

ABC andDEF

We know that ar(ABC) /ar(DEF) =(AB/DE) *2

25/64=(AB/DE)*2

So AB/DE=5/8 (by doing underroot)

So AB:DE=5:8

therefore, ratio of their corresponding sides is 5:8