Question

(4) The Ratio of the corresponding sides of two similar triangles is 2 : 3 . If the area of the smaller triangle is 100 sq. cm , find the area of the larger triangle .​

Answer 1

Answer:

• The area of larger triangle is 225 cm².

Step-by-step explanation:

Given:

• Ratio of the corresponding sides of two similar triangles is 2 : 3.

• Area of smaller triangle is 100 cm².

To Find: Area of larger triangle

Let's do it,

As we know that,

Area of two similar triangle is (Ratio of their corresponding sides)² = Ratio of area of both triangle

→ (2/3)² =  Area of smaller triangle / Area of larger triangle

→ 2/3 × 2/3 = 100 / Area of larger triangle

→ 4/9 = 100 / Area of larger triangle

→ Area of larger triangle = 9×100/4

→ Area of larger triangle = 900/4

→ Area of larger triangle = 225 cm²

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