Question

areas of two similar triangles are 225 square CM, 81 square square CM if a side of the smaller triangle is 12cm then find corresponding side of bigger Triangle

Answer 1

Answer:

20 cm

Step-by-step explanation:

Let the side of the larger triangle be x.

For two similar triangles,

Ratio of areas = Ratio of squares of corresponding sides.

As given,

225 : 81 = x ^2 : 12 ^2

225 / 81 = x ^2 / 12 ^2

x / 12 = 15 / 9

As 15 ^2 = 225, 9 ^2 = 81

x = ( 15 × 12 ) / 9

x = 20 cm