For the right triangle shown, the lengths of two sides are given. Find the third side. Leave your answer in simplified, radical form.
a = 4, b = 4, c =
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OpenStudy (aihberkhan):
What you have to do is use pythagorean theorem.
OpenStudy (anonymous):
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OpenStudy (mathstudent55):
For a right triangle, you can use the Pythagorean theorem:
\(a^2 + b^2 = c^2\)
where a and b are the lengths of the legs, and c is the length of the hypotenuse.
OpenStudy (mathstudent55):
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OpenStudy (mathstudent55):
Use the formula above and substitute both a and b by 4.
What do you get?
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OpenStudy (mathstudent55):
\(a^2 + b^2 = c^2\)
\(4^2 + 4^2 = c^2\)
What is 4^2?
OpenStudy (anonymous):
32
OpenStudy (anonymous):
squared
OpenStudy (mathstudent55):
\(4^2 + 4^2 = c^2\)
\(16 + 16 = c^2\)
\(c^2 = 32\)
Ok so far?
OpenStudy (anonymous):
i have to put it in a different form
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OpenStudy (mathstudent55):
We are not finished.
Now we need to find c, so we take the square root of both sides.
\(c^2 = 32\)
\(c = \sqrt{32} \)
ok?