Question

What is the Pythagorean Theorem, c2=a2+b2 , solved for a?(1 point) Responses a=b2−c2−−−−−−√ A is equal to square root of b squared minus c squared end root a=c2−b2 A is equal to c squared minus b squared a=c2−b2−−−−−−√ A is equal to square root of c squared minus b squared end root a=(c2−b2)2

Answer 1

To solve the Pythagorean Theorem \( c^2 = a^2 + b^2 \) for \( a \), we can start by isolating \( a^2 \) in the equation:

1. Rearrange the equation to get \( a^2 \) on one side:
\[
a^2 = c^2 - b^2
\]

2. Next, take the square root of both sides to solve for \( a \):
\[
a = \sqrt{c^2 - b^2}
\]

Thus, the correct response is:
\[
a = \sqrt{c^2 - b^2}
\]