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प्रश्न
The ratio of corresponding sides of similar triangles is 3 : 5, then find the ratio of their areas.
उत्तर
Let the corresponding sides of similar triangles be s1 and s2.
Let A1 and A2 be their corresponding areas.
s1 : s2 = 3 : 5 ......[Given]
∴ `s_1/s_2 = 3/5` ......(i)
`A_1/A_2 = (s_1^2)/(s_2^2)` .......[Theorem of areas of similar triangles]
= `((s_1)/(s_2))^2`
= `(3/5)^2` ......[From (i)]
= `9/25`
∴ Ratio of areas of similar triangles = 9 : 25
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