body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Big Ideas Math: Modeling Real Life, Grade 8

BI

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

2. The Pythagorean Theorem

Continue to next subchapter

Exercise 12 Page 386

Use the Pythagorean Theorem.

6yards

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=1.1yards and c=6.1yards.

Let's substitute these values into the formula.

a^2+b^2=c^2

b= 1.1, c= 6.1

a^2+ 1.1^2= 6.1^2

▼

Solve for a

Calculate power

a^2+1.21=37.21

LHS-1.21=RHS-1.21

a^2+1.21-1.21=37.21-1.21

Subtract terms

a^2=36

sqrt(LHS)=sqrt(RHS)

a=sqrt(36)

Calculate root

a=6

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