Question

the base and the height of a triangle are in the ratio of 2:3.if the area of the triangle is 300square, find the measure of its base and height.

Answer 1

Let the ratio be 2x an 3x

A.T.Q

1/2×base×height=300
1/2 × 2x × 3x = 300
${6x}^{2} \div 2 = 300 \\ {6x}^{2} = 300 \times 2 \\ {x}^{2} = 600 \div 6 \\ {x}^{2} = 100 \\ x = \sqrt{100} \\ x = 10$

Base = 2x=2×10=20
Height=3x=3×10=30