Solve for Variable 'b' in Equation: p = (a^2 + b^2 + c^2) / 2

Published on August 2, 2024

Algebra

Learn how to solve for the variable 'b' in the equation p = (a^2 + b^2 + c^2) / 2. This step-by-step guide shows you how to isolate 'b' and arrive at the solution: b = √(2p - a^2 - c^2).

Question

Express from the formula the unknown variable

Answer

Let’s express the variable from the formula:
  1. Start with the formula:
  2. Multiply both sides by 2:
  3. Subtract from both sides:
  4. Take the square root of both sides:
Therefore, the formula for is: