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