Math, asked by aditi8, 1 year ago

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

Answers

Answered by sandy33
1
Area=90sq m
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
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Answered by Dakshansh
0
area = 1/2 x b x h
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

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