Question

A triangular table top has a base that is twice as long as its height. If the area of the table surface is 324 square inches, what is the value of the height and the base?

Answer 1

Answer:

Height is 18 inches.

Base is 36 inches.

Step-by-step explanation:

Let the base of the triangular table top be x inches.

The height will be $\frac{1}{2}$x inches.

The area of the triangular table top is 324 inches²

Area of a triangle = $\frac{1}{2}$ × Base × Height

342 inches² = $\frac{1}{2}$ × x × $\frac{1}{2}$x

$\frac{x^2}{4}$ = 324

Finding the square root on both sides gives;

$\frac{x}{2}$ = 18

Therefore x (the base) = 36 inches

And $\frac{1}{2}$ (the height) = 18 inches.