Question

The triangle below has area $14$ and height $6$. Find length $AC.$

Answer 1

Answer: AC = 4
`(2)/(3)` or 4.667

Explanation:

We can substitute the given values into the formula for the area of a triangle to solve.

Given formula:

A = (BH) / 2

Substitute known values:

14 = (6H) / 2

Multiply both sides of the equation by 2:

28 = 6H

Divide both sides of the equation by 6:

4
`(2)/(3)` = H

Reflexive property:

AC = H = 4
`(2)/(3)`