A right-angled triangle has legs of length 5 cm and 12 cm. What is the length of the hypotenuse - mathselab.com

A right-angled triangle has legs of length 5 cm and 12 cm. What is the length of the hypotenuse?

Question:

A right-angled triangle has legs of length 5 cm and 12 cm. What is the length of the hypotenuse?



Options:

A) 13 cm 
B) 15 cm 
C) 17 cm 
D) 19 cm



Answer:

A) 13 cm



Solution:

Use the Pythagorean theorem: hypotenuse^2 = leg1^2 + leg2^2. Solve for the hypotenuse: hypotenuse = √(5^2 + 12^2) = √(25 + 144) = √169 = 13 cm.

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