Question

if ∆abc~∆def,ar(abc)= 169cm² and ar(def)= 121cm²,if ab=26cm , then find DE (Full Working needed)​

Answer 1

Step-by-step explanation:

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

Hence the square root of the ratio of area of two similar triangle is equal to ratio of their corresponding sides.

Let the longest side of the smaller triangle be x.

Therefore

121

169

=

x

26

11

13

=

x

26

x=22cm

The longest side of smaller triangle is 22cm