SOLUTION: the legs of a right triangle are 3 and 6 . find the length of the hypotenuse. a rectangle has a side 10 and 8 . find the diagonal . please and thank you

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Question 881720: the legs of a right triangle are 3 and 6 . find the length of the hypotenuse.
a rectangle has a side 10 and 8 . find the diagonal . please and thank you

Answer by JulietG(1812)   (Show Source): You can put this solution on YOUR website!
In a right triangle, += where a and b are the legs and c is the hypotenuse.
.
3^2 + 6^2 = x^2
9 + 36 = x^2
45 = x^2
Take the square root of each side to get
6.7082 = x (or "the square root of 45")
.
For the second equation, a rectangle is simply two right triangles together. Same formula.
10^2 + 8^2 = x^2
100 + 64 = x^2
164 = x^2
12.0862 = x (or "the square root of 164")

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