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.

McGraw Hill Glencoe Algebra 1 Texas, 2016

MH

McGraw Hill Glencoe Algebra 1 Texas, 2016 View details

5. The Pythagorean Theorem

Continue to next subchapter

Exercise 1 Page 650

Use the Pythagorean Theorem.

5

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=3 and b=4.

Let's substitute these values into the formula.

a^2+b^2=c^2

a= 3, b= 4

3^2+ 4^2=c^2

▼

Solve for c

Calculate power

9+16=c^2

Add terms

25=c^2

sqrt(LHS)=sqrt(RHS)

sqrt(25)=c

Rearrange equation

c=sqrt(25)

Calculate root

c = 5

Since a negative side length does not make sense, we only need to consider positive solutions.

Subchapter links

Check Your Understanding p.650

Practice and Problem Solving p.650-652

H.O.T. Problems p.652

Preparing for Assessment p.653