Quandaries
and Queries 

In triangle ABC. Angle ABC is 90 degrees. Side AB measures 34. Side BC measures 31. What does side AC measure? Bruce 

Hi Bruce, This is an application of Pythagoras' Theorem which states
The hypotenuse is the side opposite the right angle and the statement means
Hence in the diagram below the area of the red square is the sum of the areas of the green squares.
Algebraically if the lengths of the sides of the triangle are a, b and c where c is the length of the hypotenuse then
In the situation you describe a = 34 and b = 31 so
and hence
Penny 

