McGraw Hill Glencoe Algebra 2, 2012
MH
McGraw Hill Glencoe Algebra 2, 2012 View details
8. The Pythagorean Theorem
Continue to next subchapter

Exercise 8 Page P23

11.5

Practice makes perfect

To find the missing side of the triangle, we will use the Pythagorean Theorem.

In the formula, a and b are the legs and c is the hypotenuse of a right triangle. We are given a triangle with a=6 and c=13. Let's substitute these values into the formula.

a^2+b^2=c^2
6^2+b^2= 13^2
â–¼
Solve for a
36+b^2=169
b^2=133
b=sqrt(133)
b≈ 11.533
b≈ 11.5

Since a negative side length does not make sense, we only need to consider positive solutions.