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Corresponding sides of two similar triangles is 3and 4 and area of larger triangle is48cmsq. Find the area of smaller triangle ?
Verified Answer
Corresponding sides of two similar triangles is 3and 4 and area of lar...
If A1, A2 are areas of two similar

triangles and a , b are their 

corresponding sides then

A1/A2 = a^2/b^2

Here ,

area of larger triangle ( A1 ) = 48 cm^2

A2 = ?

a = 4 cm , b = 3 cm

A1/A2 = a^2/b^2

48/A2 = 4^2/3^2

=> ( 48 x 9 )/16 = A2

=> 3 x 9 = A2

27 = A2

Therefore,

Area of smaller triangle = A2 = 27 cm^2
This question is part of UPSC exam. View all Class 10 courses
Most Upvoted Answer
Corresponding sides of two similar triangles is 3and 4 and area of lar...
36 cmsq

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Corresponding sides of two similar triangles is 3and 4 and area of larger triangle is48cmsq. Find the area of smaller triangle ?
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