SOLUTION: Solving Radical Equations (quadratic) I am given a right triangle. One leg is a=7mm and the hypotenuse is c=7.4mm. It says to find the length of the unknown side b of the giv

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Question 352114: Solving Radical Equations (quadratic)
I am given a right triangle. One leg is a=7mm and the hypotenuse is c=7.4mm.
It says to find the length of the unknown side b of the given right triangle
and to also give the exact length and a one decimal place approximation.
Found 2 solutions by Fombitz, Edwin McCravy:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Is it a right triangle?

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Solving Radical Equations (quadratic)
I am given a right triangle. One leg is a=7mm and the hypotenuse is c=7.4mm.
It says to find the length of the unknown side b of the given triangle and to also give the exact length and a one decimal place approximation.

We use the Pythagorean theorem:
%28hypotenuse%29%5E2=%28one_leg%29%5E2%2B%28other_leg%29%5E2
c%5E2=a%5E2%2Bb%5E2
7.4%5E2=7%5E2%2Bb%5E2
54.76=49%2Bb%5E2
5.76=b%5E2
b%5E2=5.76
b=sqrt%285.76%29
b=2.4
So the other leg b is 2.4mm.
That is the exact value.
`
Edwin