SOLUTION: can someone solve this question for me please?
the lenghth of one leg of a right triangle is 8 ft the lenghth of the hypotenuse is 4 feet longer than the other leg
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Question 873561: can someone solve this question for me please?
the lenghth of one leg of a right triangle is 8 ft the lenghth of the hypotenuse is 4 feet longer than the other leg
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
the lenghth of one leg of a right triangle is 8 ft the lenghth of the hypotenuse is 4 feet longer than the other leg
.
Apply Pythagorean theorem:
Let x = length of other leg
then
8^2 + x^2 = (x+4)^2
8^2 + x^2 = (x+4)(x+4)
64 + x^2 = x^2+8x+16
64 = 8x+16
48 = 8
6 = x
Other leg is 6 feet
hypotenuse = x+4= 6+4 = 10 feet
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