SOLUTION: the legs of a right triangle are (x) and (x+2). The hypotenuse is (x+4). Find the length of each side of the triangle.

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Question 774214: the legs of a right triangle are (x) and (x+2). The hypotenuse is (x+4). Find the length of each side of the triangle.
Answer by ramkikk66(644)   (Show Source): You can put this solution on YOUR website!
Since it is a right triangle, we can apply the Pythagoras theorem
Square of hypotenuse = square of leg1 + square of leg2.

Expanding the Left and right sides

Moving all terms to one side


This is a standard quadratic equation which can b solved by factorization



The two roots (solutions) for x are
x + 2 = 0 or x = -2
x - 6 = 0 or x = 6
Take only the positive value of the x.
So one leg of the triangle is 6
The other leg is (6 + 2) or 8.
The hypotenuse is (6 + 4) or 10.
The sides of the triangle are 6, 8 and 10 units.
Hope you got it :)


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