SOLUTION: The area of triangle T is 625 square inches. If the length of the base b is half the length of the altitude drawn to that base, then what is the length of the altitude?
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Question 339847: The area of triangle T is 625 square inches. If the length of the base b is half the length of the altitude drawn to that base, then what is the length of the altitude?
Found 2 solutions by nerdybill, Earlsdon:
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
The area of triangle T is 625 square inches. If the length of the base b is half the length of the altitude drawn to that base, then what is the length of the altitude?
.
Let x = altitude
then
x/2 = base
.
(1/2)base*height = area
(1/2)(x/2)x = 625
(x/4)x = 625
x^2/4 = 626
x^2 = 2504
x = 50 inches
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Start with the area of a triangle:
Substitute and
Simplify.
Multiply both sides by 4.
Take the square root of both sides.
The length of the altitude is 50 inches.
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