Question

if two triangles have equal area and the ratio of their basses is equal to 2:3 then find the ratio of their corresponding altitudes​

Answer 1

Let AB = 2x. and PQ = 3x.

Now area ( ABC ) = 1/2 2x AD

area ( PQR ) = 1/2. 3x. RS

as area is equal.

1/1 = 2AD / 3RS

3RS = 2AD

thus ratio of corresponding altitude s will be. = 3/2.

Answer 2

Step by Step Explanation

Let AB = 2x. and PQ = 3x.

Now area ( ABC ) = 1/2 2x AD

area ( PQR ) = 1/2. 3x. RS

as area is equal.

1/1 = 2AD / 3RS

3RS = 2AD

thus ratio of corresponding altitude s will be. = 3/2.

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