Question

Sides of two similar triangles are in the ratio 4:9 . Areas of these triangles are in the ratio_______.



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Answer 1

Answer:

Solution. If two triangles are similar to each other, then the ratio of the areas of these triangles will be equal to the square of the ratio of the corresponding sides of these triangles. It is given that the sides are in the ratio 4:9. Hence, the correct answer is 16 : 81.

Step-by-step explanation:

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Answer 2

Ratio = 4:9

Let it be a equilateral triangle.

ATQ,

√3×(4)²/4

= √3 × 4 × 4/4

=√3×4 (area of first)

√3×(9)²/4

= 3*3*3*3*√3 /4. ( underoot three will be multiplied by 3)

= 3*3*3*3 /4

=81/4. (area of second)

DH_Devil

RATIO OF AREAS,

√3×4 : 81/4. (4 will be cancelled on both sides)

= √3 : 81