# Base of a triangle in the ratio 4:5 if the area of triangle is 90 sq m find base and height

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by aditi8

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by aditi8

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ratio of base and height = 4:5

let base be 4x then height=5x

Area =1/2×base×height

90=1/2×4x×5x

90×2=20x^2

180=20x^2

x^2=180/20

x^2=9

x=√9

x=3

So,base=4x=4×3

=12m

height=5×3

=15m

Hope it was helpful

plzzz mark as brainliest

let b = 4n and h = 5n

so area = 1/2 x 4n x 5n

⇒ 90 = 1/2 x 20n²

⇒20n² = 90 x 2

⇒n² = 180 / 20

⇒n = √9

⇒n = 3cm

so base = 4 x 3 = 12 cm

and height = 5 x 3= 15 cm