Question

SIDES OF TWO SIMILAR TRIANGLES ARE IN THE RATIO 4 : 9, AREAS OF THESE TRIANGLES ARE IN THE RATIO ?

Answer 1

Step-by-step explanation:

And the ratio of the sides of these two similar triangles be AB: PQ which is 4:9. If two triangles are similar, then the ratio of the areas of both the triangles is equal to the ratio of the squares of their corresponding sides. So, the correct answer is “16:81”.

Answer 2

Given :-

Sides of two similar triangles are in the ratio of 4:9

To Find :-

Ratio of their area

Solution :-

Area of ΔABC ∼ ΔPQR

ΔABC/ΔPQR = (side)²/side²

ΔABC/ΔPQR = (4)²/(9)²

ΔABC/ΔPQR = 16/81

Hence

The ratio is 16 : 81