5. The measure of side c is 105 inches and the measure of side a is 80 inches. What is the length of side b?
To find the length of side b, we can use the Pythagorean theorem:
a^2 + b^2 = c^2
Substitute the given values:
80^2 + b^2 = 105^2
6400 + b^2 = 11025
b^2 = 11025 - 6400
b^2 = 4625
Taking the square root of both sides:
b = √4625
b = 67.82 inches
Therefore, the length of side b is approximately 67.82 inches.