Pearson Geometry Common Core, 2011
PG
Pearson Geometry Common Core, 2011 View details
1. The Pythagorean Theorem and Its Converse
Continue to next subchapter

Exercise 9 Page 495

34

Practice makes perfect
To find the missing side of the triangle, we will use the Pythagorean Theorem. a^2+b^2=c^2

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=30, b=16, and c=x.

Let's substitute these values into the formula and solve for x.
a^2+b^2=c^2
30^2+ 16^2= x^2
â–Ľ
Solve for x
900+256=x^2
1156=x^2
sqrt(1156)=x
x=sqrt(1156)
x=34
Since a negative side length does not make sense, we only need to consider positive solutions.