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pishuonlain [190]
3 years ago
15

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

Mathematics
2 answers:
Helen [10]3 years ago
4 0

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

eimsori [14]3 years ago
3 0
<h2>Hello!</h2>

The answer is:

The height of the triangle is equal to 8 inches.

height=8in

<h2>Why?</h2>

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!

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