Make a the subject of a2+b2=c2

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given:

a^2 + b^2 = c^2

Solution:

The given equation is based on Pythagorean Theorem, which is often used to solved for the side of a right triangle and many other applications.

In order to determine a, we simply transpose b on the other side of the equation. Note that when transposing a number, the sign changes.

a^2 + b^2 = c^2

a^2 = c^2 - b^2

Take the square root of both sides in order to find the value of a.

a= √(c^2 -b^2)

Final answer:

a= √(c^2 -b^2)