Question

The base and height of a triangle are in the ratio 3 is to 4 and its area is 96 CM square find its base and height.

Answer 1

Let
Base=3x
Height=4x

So,
Area of triangle=96*96
=1/2*3x*4x=96*96
=6x^2=96*96
=6x=96
So,x=16
Now,
Base=3x=3*16=48
Height=4x=4*16=64

Answer 2

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Question

The base and height of at triangle are in the ratio 3:4 and its area is 96 sq.m . find its base and height

Answer: base = 3×4 = 12cm and height = 4×4 = 16 cm

Solution

Let the base be 3x

Let the height be 4x

Area of triangle, A = ½ × base × altitude = 96 m²

96 = ½ × base × ¼ base

96 = 6x²

x² = 16 or x = 4

base = 3×4 = 12cm and

height = 4×4 = 16 cm

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