Question

The base and height of a triangle are in the ratio 5:7.if the area of the triangle is 1750 m Sq. find the length of base and height.

Answer 1

let base be 5x and height be 7x
ar. of ∆ =1/2×b×h
1750m² =1/2 ×5x. × 7x
1750 ×2=35x²
3500= 35x²
3500/35=x²
100=x²
√100 =x
10 m =x
base=5x
=5×10
=50 m
height=7x
=7×10
=70m

Answer 2

base= 5x
height=7x
area of triangle=1/2×base×height
1750=1/2×5x×7x
1750 = 1/2×35x^2
1750×2=35x^2 or
35x^2=3500
x^2=3500/35
x^2=100
x=√100
x=10
base=10×5=50m
height=10×7=70m
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