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Sum

The base and the height of a triangle are in the ratio 5 : 3. If the area of the triangle is 67.5 m^{2}; find its base and height.

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#### Solution

Let base = 5x m

height = 3x m

Area of Δ = `1/2 "base" xx "height"`

∴ `1/2 xx 5x xx 3x = 67.5`

`x^2 = (67.5 xx 2)/15`

`x^2 = 4.5 xx 2`

`x^2 = 9.0`

`x = sqrt(9)`

x = 3

base = 5x = 5 x 3 = 15 m

height = 3x = 3 x 3 = 9 m

Concept: Perimeter of Triangles

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