Question

the base and height of a triangle are in the ratio 3 : 2 and its area is 108 cm2 find its base and height math question​

Answer 1

Given :

ratio of base of triangle: height = 3:2

area of triangle = 108cm²

Find: base and height of the triangle

we know that,

$area \: of \: triangle = \frac{1}{2} \times base \times height$

let the base be 3x and height be 2x

therefore,

$108 = \frac{1}{2} \times 3x \times 2x$

2 and 2 in 2x gets cancelled.

$108 = {3x}^{2}$

$\frac{108}{3} = { x}^{2}$

36 = x²

$\sqrt{36} = x$

6 = x

hence,

hence,base = 3x = 3×6 = 18cm

height = 2x = 2×6 = 12cm

hope it helps

have a great day

Answer 2

base = 18 cm

height = 12 cm