Answer:
The height of the triangle, h, is 5 ft and the base of the triangle, b, is 10 ft.
Step-by-step explanation:
Given;
area of the triangle, A = 25 ft²
let the height of the triangle = h
then, the base, b = 2h
Area of a triangle is given by;
[tex]A = \frac{bh}{2} \\\\A = \frac{(2h)h}{2}\\\\A = \frac{2h^2}{2}\\\\A = h^2\\\\h = \sqrt{A} \\\\h = \sqrt{25}\\\\h = 5 \ ft[/tex]
Then, the base will be calculated as;
b = 2h
b = 2 x 5
b = 10 ft
Thus, the height of the triangle, h, is 5 ft and the base of the triangle, b, is 10 ft.