Question

The areas of two similar triangles are 169 cm' and 121 cm respectively. If the longest side of the larger triangle is 26 cm, find the longest side of the smaller triangle,
The areas of two similar triangles are 25 cm and 36 cm respectively if the altitude​

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