Pearson Algebra 1 Common Core, 2015
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Pearson Algebra 1 Common Core, 2015 View details
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Exercise 1 Page 657

44.8

Practice makes perfect
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=28 and b=35. Let's substitute these values into the formula.
a^2+b^2=c^2
28^2+ 35^2=c^2
Solve for c
784+1225=c^2
2009=c^2
sqrt(2009)=c
c=sqrt(2009)
c=44.821 ...
c≈ 44.8
Since a negative side length does not make sense, we only need to consider positive solutions.