McGraw Hill Glencoe Algebra 2, 2012
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McGraw Hill Glencoe Algebra 2, 2012 View details
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Exercise 26 Page P3

3sqrt(13)yd

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=6yd and b=9yd. Let's substitute these values into the formula.

a^2+b^2=c^2
6^2+ 9^2=c^2
â–¼
Solve for c
36+81=c^2
117=c^2
sqrt(117)=c
c=sqrt(117)
c=sqrt(9 * 13)
c=sqrt(9) * sqrt(13)
c=3sqrt(13)

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