McGraw Hill Glencoe Algebra 2, 2012
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McGraw Hill Glencoe Algebra 2, 2012 View details
2. Angles and Angle Measure
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Exercise 67 Page 805

Use the Pythagorean Theorem. Remember that the length of a side cannot be negative.

sqrt(317)

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=14 and b=11.

Let's substitute these values into the formula.

a^2+b^2=c^2
14^2+ 11^2=c^2
â–¼
Solve for c
196+121=c^2
317=c^2
sqrt(317)=sqrt(c^2)

sqrt(a^2)=± a

± sqrt(317)=c
c=± sqrt(317)

Since a negative side length does not make sense, we only need to consider positive solutions. Therefore, the length of the hypotenuse is sqrt(317).