Answer:
Base = 7.1m
Height = 14.2m
Step-by-step explanation:
Let's take the base as 'x'.
And the height is twice the base so it is 2 × x which is 2x.
Then, the formula for finding area of a triangle is:
Area of a triangle = [tex]\frac{1}{2}[/tex] × base × height
From this equation we will be able to find the value of 'x'.
The area is 50 [tex]m^{2}[/tex]. Now substitute all the terms into the equation.
50 = [tex]\frac{1}{2}[/tex] × x × 2x
50 = [tex]\frac{1}{2}[/tex] × [tex]2x^{2}[/tex]
50 = [tex]\frac{2x^{2} }{2}[/tex]
The '2' in the numerator and denominator can be cut off.
[tex]x^{2}[/tex] = 50
x = [tex]\sqrt{50}[/tex]
x = 7.07 = 7.1m ( to the nearest tenth )
So when the base is 7.07 the height, as mentioned, is twice of base, 2x. We have the value of x so just substitute the value of x in 2x.
2 × 7.1 = 14.2m
