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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 3 Page 383

Use the Pythagorean Theorem.

30yards

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=16yards and c=34yards.

Let's substitute these values into the formula.

a^2+b^2=c^2

a= 16, c= 34

16^2+b^2= 34^2

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Solve for b

Calculate power

256+b^2=1156

LHS-256=RHS-256

256+b^2-256=1156-256

Subtract terms

b^2=900

sqrt(LHS)=sqrt(RHS)

b=sqrt(900)

Calculate root

b=30

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