Question

Ratio of corresponding sides of two similar triangles is 2:5.if the area of the smaller triangle is 64sq cm,then what is the area of the bigger triangle?

Answer 1

Solution :

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We know the theorem :

The ratio of the areas of two

similar triangles is equal to the

ratio of the squares of their

corresponding sides .

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Here ,

Let A1 , A2 are areas of two similar

triangles and s1 , s2 are their

corresponding sides respectively ,

s1 : s2 = 2 : 5

=> s1/s2 = 2/5 -----( 1 )

A1 = 64 m² ,

A2 = ?

( s1/s2 )² = ( A1/A² )

=> ( 2/5 )² = ( 64 /A2 )

=> A2 = ( 64 × 25 )/4

= 16 × 25

= 400

Therefore ,

Area of bigger triangle ( A2 ) = 400m²

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Answer 2

Answer:

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