Question

triangle ABC similar to triangle DEF. If AB =2.4,DE=1.6.Find the ratio of the areas of triangle ABC and triangle DEF.​

Answer 1

Answer:

The answer is 9:4

Step-by-step explanation:

Acc. to similar triangle theorem :- If two triangles are similar then the ratio of the areas of both is proportional to the square of the ratio of their corresponding sides .

This means , Ratio of area of both similar triangles = ( Ratio of corresponding sides )² .... ( 1 )eq.

AB / DE = 2.4 / 1.6 = 24/10 × 10 / 16

AB / DE = 3/2 = 3:2

Ratio of both triangle = (3:2)² = 9 : 4