McGraw Hill Glencoe Algebra 2, 2012
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Exercise 1 Page 787

11.7

Practice makes perfect

To find the missing side length of the triangle, we will use the Pythagorean Theorem. a^2+b^2=c^2In 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 and b=4.

Let's substitute these values into the formula.

a^2+b^2=c^2
11^2+ 4^2= x^2
▼
Solve for x
121+16=x^2
137=x^2
sqrt(137)=x
x=sqrt(137)
x=11.70469...
x≈ 11.7

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