Question

The area of a triangle is 24sq inches. If the base of the triangle is 6 inches, what is the height?

Answer 1

Answer:

8 inches

Step-by-step explanation:

To find the area of a triangle, we use the formula

A = 1/2 bh where b is the length of the base and h is the height

A = 24 and b = 6

24 = 1/2 (6) * h

24 =3h

Divide each side by 3

24/3 = 3h/3

8 =h

The height is 8 inches

Answer 2

Hello!

The answer is:

The height of the triangle is equal to 8 inches.

$height=8in$

Why?

To find the height of the triangle, we need to use the formula to calculate the area of a triangle, it's given by the following expression:

$Area=\frac{base*height}{2}$

So, since we already know the area and the base, we need to isolate the height from the formula, so, isolating we have:

$Area=\frac{base*height}{2}\\\\\frac{Area*2}{base}=height$

We know that:

$Area=24in^{2} \\base=6in$

Now, substituting we have:

$height=\frac{Area*2}{base}$

$height=\frac{24in^{2} *2}{6in}=8in$

Hence, we have that the height of the triangle is equal to 8 inches.

$height=8in$

Have a nice day!