a and b represent the two legs of a right triangle, while c represents the hypotenuse. Find the length of the unknown side.
-$\mathrm { a } = 20 \mathrm { ft } , \mathrm { c } = 52 \mathrm { ft }$
A) $b = 49 \mathrm { ft }$
B) $b = 56 \mathrm { ft }$
C) $b = 36 \mathrm { ft }$
D) $b = 48 \mathrm { ft }$

Question

Quizplus · Accepted Answer

Using the Pythagorean theorem $a^2 + b^2 = c^2$, we have $20^2 + b^2 = 52^2$. Solving for $b$, we get $b = 48 \mathrm{ ft }$.

A and B Represent the Two Legs of a Right a=20ft,c=52ft\mathrm { a } = 20 \mathrm { ft } , \mathrm { c } = 52 \mathrm { ft }a=20ft,c=52ft

A and B Represent the Two Legs of a Right $\mathrm { a } = 20 \mathrm { ft } , \mathrm { c } = 52 \mathrm { ft }$