Find the unknown length in the right triangle. If necessary, approximate the length to the nearest thousandth.
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A)16 cm
B)5.657 cm
C)10.100 cm
D)11.402 cm

Question

Find the unknown length in the right triangle. If necessary, approximate the length to the nearest thousandth.
-
A)16 cm 
B)5.657 cm 
C)10.100 cm 
D)11.402 cm

Quizplus · Accepted Answer

Use Pythagorean theorem to solve for the unknown length: 
a² + b² = c² 
(8 cm)² + (10 cm)² = c² 
64 cm² + 100 cm² = c² 
164 cm² = c² 
c ≈ 11.402 cm (rounded to the nearest thousandth) 
Therefore, the answer is D.

Find the Unknown Length in the Right Triangle