SOLUTION: To Whom Ever Can Assist, Thank you.... In a right triangle, the sides are related by pythagorean theorem, c^ =a^ + b^, where "c" is the hypotenuse. Find the hypotenuse when the

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: To Whom Ever Can Assist, Thank you.... In a right triangle, the sides are related by pythagorean theorem, c^ =a^ + b^, where "c" is the hypotenuse. Find the hypotenuse when the       Log On

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Question 57295: To Whom Ever Can Assist, Thank you....
In a right triangle, the sides are related by pythagorean theorem, c^ =a^ + b^, where "c" is the hypotenuse. Find the hypotenuse when the other two sides' measurements are 6ft. and 8ft.
The hypotenuse is the side opposite the 90 degree angle.... but still confused.
Found 2 solutions by tutorcecilia, funmath:
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
a^2+b^2=c^2 [Pythagorean Theorem]
6^2+8^2=c^2 [Plug-in the values]
36+64=c^2 [Simplify]
100=c^2 [Take the square root of each side to find the value of just "c"]
sqrt(100)=sqrt(c^2)
10=c
.
Check by plugging all of the values for a, b, and c back into the formula.

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
In a right triangle, the sides are related by pythagorean theorem, c%5E2=a%5E2%2Bb%5E2, where "c" is the hypotenuse. Find the hypotenuse when the other two sides' measurements are 6ft. and 8ft.
a=6 and b=8 (It doesn't matter which leg you pick to be a and which you pick to be b. The only thing that matters is that the hypotenuse is c).
c%5E2=%286%29%5E2%2B%288%29%5E2
c%5E2=36%2B84
c%5E2=100
sqrt%28c%5E2%29=%2B-sqrt%28100%29 Because this is a dimension, ignore the -.
sqrt%28c%5E2%29=sqrt%28100%29
c=10
The hypotenuse is 10 ft.
Happy Calculating!!!