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 1 Page 382

Use the Pythagorean Theorem.

17feet

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=8feet and b=15feet.

Let's substitute these values into the formula.

a^2+b^2=c^2

a= 8, b= 15

8^2+ 15^2=c^2

▼

Solve for c

Calculate power

64+225=c^2

Add terms

289=c^2

sqrt(LHS)=sqrt(RHS)

sqrt(289)=c

Rearrange equation

c=sqrt(289)

Calculate root

c=17

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