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Pearson Algebra 1 Common Core, 2015

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Pearson Algebra 1 Common Core, 2015 View details

1. The Pythagorean Theorem

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Exercise 1 Page 616

Use the Pythagorean Theorem.

39

Practice makes perfect

To find the missing side length 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=15, b=36 and c=x.

Let's substitute these values into the formula and find x.

a^2+b^2=c^2

SubstituteValues

Substitute values

15^2+ 36^2= x^2

▼

Solve for x

Calculate power

225+1296=x^2

Add terms

1521=x^2

sqrt(LHS)=sqrt(RHS)

sqrt(1521)=x

Rearrange equation

x=sqrt(1521)

Calculate root

x=39

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

Subchapter links

Lesson Check p.616

Practice and Problem-Solving Exercises p.617-618