Question

PLEASE HELP!!! 20 PTS!!!
A triangle is four times as tall as the length of its base. The triangle's area is 24 square units.
(Could you also tell me how to do this because I have noooo idea how!)

Answer 1

Answer:

see explanation

Step-by-step explanation:

The area (A) of a triangle is calculated using the formula

A = $\frac{1}{2}$ bh ( b is the base and h the perpendicular height )

let b = x then h = 4x ( 4 times the length of the base ), then

$\frac{1}{2}$ × x × 4x = 24

$\frac{1}{2}$ × 4x² = 24

2x² = 24 ( divide both sides by 2 )

x² = 12 ( take the square root of both sides )

x = $\sqrt{12}$ = $\sqrt{4(3)}$ = 2$\sqrt{3}$, hence

base = 2$\sqrt{3}$ and height = 8$\sqrt{3}$