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

see explanation

Explanation:

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

A =
`(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

`(1)/(2)` × x × 4x = 24

`(1)/(2)` × 4x² = 24

2x² = 24 ( divide both sides by 2 )

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

x =
`√(12)` =
`√(4(3))` = 2
`√(3)`, hence

base = 2
`√(3)` and height = 8
`√(3)`