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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 11 Page 386

Use the Pythagorean Theorem.

24centimeters

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=10centimeters and c=26centimeters.

Let's substitute these values into the formula.

a^2+b^2=c^2

a= 10, c= 26

10^2+b^2= 26^2

▼

Solve for b

Calculate power

100+b^2=676

LHS-100=RHS-100

100+b^2-100=676-100

Subtract terms

b^2=576

sqrt(LHS)=sqrt(RHS)

b=sqrt(576)

Calculate root

b=24

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