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Question
The base and the height of a triangle are in the ratio 5 : 3. If the area of the triangle is 67.5 m2; find its base and height.
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
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