SOLUTION: the height of a triangle is 2 more than its base. if the hypotenuse is 10, find the dimensions of the triangle.

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Question 810260: the height of a triangle is 2 more than its base. if the hypotenuse is 10, find the dimensions of the triangle.
Answer by erica65404(394) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming this is a right triangle.
base=x
height=x+2
hypotenuse=10
use the pythagorean theorem.
a%5E2%2Bb%5E2=c%5E2
x%5E2%2B%282%2Bx%29%5E2=10%5E2
x%5E2%2B4%2Bx%5E2=100
2x%5E2=96
x%5E2=48
x=sqrt%2848%29
simplify
x=4sqrt%283%29
so the base is 4sqrt%283%29
and the height is 2%2B4sqrt%283%29