# Corresponding sides of two similar triangles are in the ratio of 2 : 3. If the area of the smaller triangle is 48 cm2, find the area of the larger triangle. - Mathematics

Sum

Corresponding sides of two similar triangles are in the ratio of 2 : 3. If the area of the smaller triangle is 48 cm2, find the area of the larger triangle.

#### Solution

Given, ratio of corresponding sides of two similar triangles = 2:3 or 2/3

Area of smaller triangle = 48 cm2

By the property of area of two similar triangle,

Ratio of area of both triangles = (Ratio of their corresponding sides)2

i.e., (ar("smaller triangle"))/(ar("larger triangle")) = (2/3)^2

⇒ 48/(ar("larger triangle")) = 4/9

⇒ ar(larger triangle) = (48 xx 9)/4 = 12 × 9 = 108 cm2

Concept: Similarity of Triangles
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#### APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 6 Triangles
Exercise 6.3 | Q 10 | Page 68
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