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If in a right triangle, the given legs are a = 10 and b=16, then by using the Pythagorean Theorem find the hypotenuse, c.
The hypotenuse is c = ?
(Simplify your answer. Type an exact answer, using radicals as needed.)

Respuesta :

DawnYarbrough

Answer:

[tex]c=2\sqrt{89}[/tex]

Step-by-step explanation:

Pythagorean theorem is:

[tex]c^{2} =a^{2} +b^{2}[/tex]

[tex]c^{2}=10^{2}+16^{2} \\c^{2} =100+256\\c^{2}=356\\c=\sqrt{356} \\c=2\sqrt{89}[/tex]

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