In a right triangle, find the length of the side not given. Let c represent the length of the hypotenuse. Give an answer to the nearest tenth if necessary.
-$\mathrm{b}=20 \mathrm{~cm}, \mathrm{c}=25 \mathrm{~cm}$
A) $\mathrm{a}=15 \mathrm{~cm}$
B) $a=5 \mathrm{~cm}$
C) $a=45 \mathrm{~cm}$
D) $a=225 \mathrm{~cm}$

Question

Quizplus · Accepted Answer

Using the Pythagorean theorem, $a^2 + b^2 = c^2$, and substituting $b=20$ cm and $c=25$ cm, we solve for $a$: $a^2 = 25^2 - 20^2 = 625 - 400 = 225$, so $a = \sqrt{225} = 15$ cm.

In a Right Triangle, Find the Length of the Side b=20 cm,c=25 cm\mathrm{b}=20 \mathrm{~cm}, \mathrm{c}=25 \mathrm{~cm}b=20 cm,c=25 cm

In a Right Triangle, Find the Length of the Side $\mathrm{b}=20 \mathrm{~cm}, \mathrm{c}=25 \mathrm{~cm}$