a and b represent the two legs of a right triangle, while c represents the hypotenuse. Find the length of the unknown side.
-$\mathrm { a } = 12 \mathrm {~km} , \mathrm { c } = 20 \mathrm {~km}$
A) $b = 14 \mathrm {~km}$
B) $b = 19 \mathrm {~km}$
C) $b = 16 \mathrm {~km}$
D) $b = 20 \mathrm {~km}$

Question

Quizplus · Accepted Answer

Using the Pythagorean theorem, $b = \sqrt{c^2 - a^2} = \sqrt{20^2 - 12^2} = \sqrt{400 - 144} = \sqrt{256} = 16 \mathrm{~km}$.

A and B Represent the Two Legs of a Right a=12 km,c=20 km\mathrm { a } = 12 \mathrm {~km} , \mathrm { c } = 20 \mathrm {~km}a=12 km,c=20 km

A and B Represent the Two Legs of a Right $\mathrm { a } = 12 \mathrm {~km} , \mathrm { c } = 20 \mathrm {~km}$