Question

You may remember that the area of a triangle is A=12B⋅H, where B is the base of the triangle and H is the height. Suppose that the area of a triangle is 288 square feet, and the base is 4 times the height. Find the base of the triangle, in feet.

Answer 1

Answer:

Base =48 feet

Step-by-step explanation:

1)

$A =\frac{1}{2}*b*h \\ b=4h\\ \\288=\frac{1}{2}*4*h^{2}\\576=4h^{2} :4\\ h^{2} =144\\ h=12$

Inserting h=12 into that relation b=4h

$b=4*12\\ b=48$

Proof:

$A=\frac{1}{2}* 48*12\\ A=288 ft^{2}$