Pearson Geometry Common Core, 2011
PG
Pearson Geometry Common Core, 2011 View details
1. The Pythagorean Theorem and Its Converse
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Exercise 4 Page 495

4sqrt(3)

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=11, b=x, and c=13.

Let's substitute these values into the formula and solve for x.
a^2+b^2=c^2
11^2+ x^2= 13^2
â–Ľ
Solve for x
121+x^2=169
x^2=48
x=sqrt(48)
x=sqrt(16* 3)
x=sqrt(16)* sqrt(3)
x=4sqrt(3)
Since a negative side length does not make sense, we only need to consider positive solutions.