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Question
The base and the height of a triangle are in the ratio 4: 5. If the area of the triangle is 40 m2; find its base and height.
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Solution
Let the base of ∆ = 4x m
and height of ∆ = 5x m
area of ∆ = 40 m2
∵ `1/2 "base" xx "height" = "area of" Delta`
`1/2 xx 4x xx 5x = 40`
`10x^2 = 40`
`x^2 = 4`
x = `sqrt(4)`
x = 2
base = 4x = `4 xx 2 = 8` m
height = 5x = `5 xx 2 = 10` m
∴ 8 m; 10 m
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