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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 9 Page 386

Use the Pythagorean Theorem.

9inches

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 b=5.6inches and c=10.6inches.

Let's substitute these values into the formula.

a^2+b^2=c^2

b= 5.6, c= 10.6

a^2+ 5.6^2= 10.6^2

▼

Solve for a

Calculate power

a^2+31.36=112.36

LHS-31.36=RHS-31.36

a^2+31.36-31.36=112.36-31.36

Subtract terms

a^2=81

sqrt(LHS)=sqrt(RHS)

a=sqrt(81)

Calculate root

a=9

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