Question

The base and height of a triangle are in the ratio of 3:4 and its area is 96cm square find its base and height

Answer 1

let the base and height be 3x and 4x respectively
area of triangle = 1/2 ×base ×height
96 = 1/2 × 3x ×4x
96 = 1/2 ×12x
96 = 6x
96/6 = x
16 = x
base = 3x = 3× 16 = 48
height = 4x = 4×16 = 64

Answer 2

let the measure of the base and height of the triangle be 3x and 4x
Then,
The area of the triangle= 1/2 × BH
= 1/2× 3x × 4x
= 1/2 × 12x
96 × 2= 12x
192/12= x
x= 16
therefore, base = 3x = 3×16
= 48 cm
and. height = 4x = 4×16
= 64 cm
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