Calculate Side AB in a Right Triangle: Given Sides 2 and 3

Question

Look at the triangle in the diagram. How long is side AB?

222333AAABBBCCC

Video Solution

Step-by-Step Solution

To find side AB, we will need to use the Pythagorean theorem.

The Pythagorean theorem allows us to find the third side of a right triangle, if we have the other two sides.

You can read all about the theorem here.

Pythagorean theorem:

A2+B2=C2 A^2+B^2=C^2

That is, one side squared plus the second side squared equals the third side squared.

We replace the existing data:

32+22=AB2 3^2+2^2=AB^2

9+4=AB2 9+4=AB^2

13=AB2 13=AB^2

We find the root:

13=AB \sqrt{13}=AB

Answer

13 \sqrt{13} cm