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Big Ideas Math: Modeling Real Life, Grade 8

BI

Big Ideas Math: Modeling Real Life, Grade 8 View details

2. The Pythagorean Theorem

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Exercise 6 Page 386

Use the Pythagorean Theorem.

13

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=5 and b=12.

Let's substitute these values into the formula.

a^2+b^2=c^2

a= 5, b= 12

5^2+ 12^2=c^2

▼

Solve for c

Calculate power

25+144=c^2

Add terms

169=c^2

Rearrange equation

c^2=169

sqrt(LHS)=sqrt(RHS)

c=sqrt(169)

Calculate root

c=13

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

Subchapter links

Try It p.382-384

Self-Assessment for Concepts & Skills p.384

Self-Assessment for Problem Solving p.385

Review & Refresh p.386

Concepts, Skills, & Problem Solving p.386-388