Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
4. Volumes of Prisms and Cylinders
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Exercise 52 Page 724

37cm

Practice makes perfect

To find the missing side 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=35cm and b=12cm.

Let's substitute these values into the formula.

a^2+b^2=c^2
35^2+ 12^2=c^2
â–¼
Solve for c
1225+144=c^2
1369=c^2
sqrt(1369)=c
c=sqrt(1369)
c=37

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