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question 12 of 25 the legs of a right triangle measure 5 centimeters an…

Question

question 12 of 25
the legs of a right triangle measure 5 centimeters and 12 centimeters. what is the length of the hypotenuse?
a. 13 centimeters
b. 169 centimeters
c. 17 centimeters
d. 14 centimeters

Explanation:

Step1: Apply Pythagorean theorem

\(c = \sqrt{a^2 + b^2}\)

Step2: Substitute a=5, b=12

\(c = \sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169}\)

Step3: Calculate square root

\(c = 13\)

Answer:

A. 13 centimeters