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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 4 Page 383

Use the Pythagorean Theorem.

4meters

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=9.6meters and c=10.4meters.

Let's substitute these values into the formula.

a^2+b^2=c^2

b= 9.6, c= 10.4

a^2+ 9.6^2= 10.4^2

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Solve for a

Calculate power

a^2+92.16=108.16

LHS-92.16=RHS-92.16

a^2+92.16-92.16=108.16-92.16

Subtract terms

a^2=16

sqrt(LHS)=sqrt(RHS)

a=sqrt(16)

Calculate root

a=4

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