Question

The base and height of a triangle are in the ratio 3:2 if the area of the triangle is 33square metre ,find its base and height.​

Answer 1

$let \: \: base \: \: and \: \: height \: \: is \: \: 3x \: \: and \: \: 2x \\ area \: \: of \: \: triangle \: = \frac{1}{2} \times base \times height \\ \\ = > \frac{1}{2} \times 3x \times 2x = 33 \\ \\ = > 3x = 33 \\ = > x = \frac{33}{3} \\ \\ = > x = 11m \\ \\ then \: \: \: \: \: base \: = > 11 \times 3 = 33m \\ height \: \: = > 2 \times 11 = 22m$