Question

Corresponding sides of two similar triangles are 3cm and 4cm . If the area of the larger triangle is 48 cmsq find the area of the smaller triangle

Answer 1

Hi ,

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If A1, A2 are areas of two similar

triangles and a , b are their

corresponding sides then

A1/A2 = a²/b²
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Here ,

area of larger triangle ( A1 ) = 48 cm²

A2 = ?

a = 4 cm , b = 3 cm

A1/A2 = a²/b²

48/A2 = 4²/3²

=> ( 48 × 9 )/16 = A2

=> 3 × 9 = A2

27 = A2

Therefore,

Area of smaller triangle = A2 = 27 cm²

I hope this helps you.

: )

Answer 2

I hope my answer is help u