SOLUTION: Two sides of a right triangle are 8 and 12 inches. a. Find the missing side if these are the lengths of the legs. b. Find the missing side if these are the lengths of

Algebra ->  Pythagorean-theorem -> SOLUTION: Two sides of a right triangle are 8 and 12 inches. a. Find the missing side if these are the lengths of the legs. b. Find the missing side if these are the lengths of       Log On


   



Question 1070575: Two sides of a right triangle are 8 and 12 inches.
a. Find the missing side if these are the lengths of the legs.
b. Find the missing side if these are the lengths of a leg and hypotenuse.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
If these are the legs, their squares, 64+144=208, which is the square of the hypotenuse.
The hypotenuse is sqrt (208)=sqrt(16)*sqrt(13)=4 sqrt (13)
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If one is the hypotenuse, it has to be the longer.
12^2=8^2+ x^2
144=64+x^2
80=x^2
x=4 sqrt (5) is the other leg.