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

User HareRam
by
6.9k points

2 Answers

3 votes

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=(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=(base*height)/(2)\\\\(Area*2)/(base)=height

We know that:


Area=24in^(2) \\base=6in

Now, substituting we have:


height=(Area*2)/(base)


height=(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!

User Ephes
by
6.3k points
4 votes

Answer:

8 inches

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

User Keepsmilinyaar
by
6.1k points
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