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

Question

Quizplus · Accepted Answer

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

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

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