Question

if the altitudes of two similar triangles are 5cm and 3.5cm and area of one triangle is 100cm²,then find the area of the other triangle

Answer 1

Solution :

Let H , h are altitudes of two triangles

whose areas are A1 , A2 respectively,

H = 5 cm , h = 3.5 cm ,

A1 = 100 cm² , A2 = ?

We know that ,

( H/h )² = A1/A2

=> ( 5/3.5 ) = 100/A2


=> A2 = ( 100 × 3.5 )/5

=> A2 = 100 × 0.7

=>A2 = 70 cm²

Therefore ,

Area of second triangle = 70 cm²

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