Question

The base and height of a triangle are in the ratio 5:4. It's area is 40m², then the base and height will ?

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Answer 1

let ratio be x

so, base = 5x

height = 4x

$\: area of ∆ = 40 m^2$

$\frac{1}{2} \times base \times height = 40 {m}^{2}$

$base \times height = 40 \times 2$

$b \times h = 80 {m}^{2}$

$5x \times 4x = 80 {m}^{2}$

$20 {x}^{2} = 80 {m}^{2}$

${x}^{2} = \frac{80 {m}^{2} }{20}$

${x}^{2} = 4 {m}^{2}$

${(x)}^{2} = {(2m)}^{2}$

$x = 2m$

Base = 5x = 5×2 = 10 m

height = 4x = 4×2 = 8m

Hope it helps :)

Answer 2

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