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A triangular sail has a base length of 2.5 meters. The area of the sail is 3.75 square meters. How tall is the sail?

User Tajh
by
6.4k points

2 Answers

5 votes
The area of a triangle is half the area of a rectangle. If you take the area of the sail, 3.75, and multiply it by 2 you get, 7.5. Since you want to find the height of the sail you would want to divide 7.5/2.5. This answer is 3. But since we earlier multiplied by 2 we need to now divide by 2. The answer would be: 1.5 meters
User Ben Guest
by
6.2k points
3 votes
Hi, Idgagirls! :)

We can figure out how tall the sail is with the formula to the find the area of a triangle, which is:

b*h/2

b=base

h=height

Lets insert the information we already know:

2.5h/2=3.75
Solve for h.
Divide both sides by 2.5.

(2.5h/2)/2.5=(3.75)/2.5
Simplify.

h/2=1.5
Multiply both sides by 2.

(h/2)*2=(1.5)*2
h=3

The sail is 3 meters high.

Hope this helps.
-Benjamin
User Guilherme Teubl
by
6.7k points
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