The base and height of the triangle is 18 inches and 9 inches respectively.
Step-by-step explanation:
Given,
The base of a triangle is twice of the height.
Area = 81 sq inches
Let,
Base (b) = 2x
Height (h) = x
To find its height and base.
Formula
Area of the triangle = [tex]\frac{1}{2}[/tex]bh
According to the problem,
[tex]\frac{1}{2}[/tex]bh = 81
or, [tex]\frac{1}{2}[/tex]×x×2x = 81
or, [tex]x^{2} = 81[/tex]
or, x = [tex]\sqrt{81}[/tex]
or, x = 9
So,
Base = 2×9 inches = 18 inches
Height = 9 inches
