SOLUTION: The base of a triangle is 5 times its height. If the area of the triangle is 360 square centimeters. What is the base of the triangle?

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Question 878440: The base of a triangle is 5 times its height. If the area of the triangle is 360 square centimeters. What is the base of the triangle?
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a triangle is 1%2F2 base * height
360 = 1%2F2 b * h
Multiply each side by 2
720 = b * h
b = 5h
Substitute the value of B from the second equation into the first.
720 = (5h) * h
720 = 5h%5E2
Divide each side by 5
144 = h%5E2
Take the square root of each side
12 = h
.
The height is 12. The base is 5*12, or 60.
60 * 12 = 720
1%2F2 of that is 360.