SOLUTION: in a right triangle the measure of the legs are 16 and x+10 and the measure of the hypotenuse is 2x-6 find the value of x

Question 890770: in a right triangle the measure of the legs are 16 and x+10 and the measure of the hypotenuse is 2x-6 find the value of x
Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
+=
+ =
256 + +20x+100 = 4-24x+36
Subtract from each side
356 + 20x = 3-24x+36
Subtract 356 from each side, subtract 20x from each side
0 = 3-44x-320
Factor
(3x+16)(x-20)
X must be a counting number so we can disregard the first factor.
x-20=0
x=20
.
Let's plug it in to see if it works.
+=
Sides are 16, X=10 (20+10), hypotenuse 2x-6 (40-6)
+=
256+900=1156
Success!
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