Question

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

Answer 1

let the base be 4x
height be 3x
1/2 b×h= 96cm2
1/2×4x×3x = 96cm2
6x sq = 96 cm2
x2 = 16
x= root over of 16 = 4 cm ..
.

height =4×4 =16cm
height =4×3 =12 cm

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Answer 2

let base and height be 3x and 4x

1/2 *3x*4x =96

or, 6x^2 = 96

or,x^2 =16

or, x= 4

base= 3×4cm=12cm

height=4×4cm=16 cm