Question

The base and height of a triangle are in the ratio 3:4 and its area is 96cmsquare .Find its base and height ​

Answer 1

Step-by-step explanation:

According to question

let the base = 3x

and height =4x

Area of triangle = 1/2*b*h

96= 1/2 *3x*4x

96 =6x^2

96/6=x^2

16=x^2

x=4

base = 3x= 3*4=12 cm

height =4x=4*4=16 cm

Answer 2

Step-by-step explanation:

$Answer$

According to the question,

Let the base = 3x

And Height = 4x

Area of Rectangle = 1/2 × B × H

96 = 1/2 × 3x × 4x

$96 = 6 {x}^{2}$

$96 \div 6 = x^2$

$16 = {x}^{2}$

$x = 4$

Therefore,

Base = 3x = 3 + 4 = 12 cm

Height = 4x = 4 × 4 = 16 cm.

Hope, it's help you.

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