1. Copyright © 2014, 2010, 2007 Pearson Education, Inc. Slide 1 Rational Numbers: Positive and Negative Decimals 5

2. Copyright © 2014, 2010, 2007 Pearson Education, Inc. Slide 2 R.1 Fractions 1.Find square roots using the square root key on a calculator. 2.Find the unknown length in a right triangle. 3.Solve application problems involving right triangles. Objectives 5.8 Geometry Applications: Pythagorean Theorem and Square Roots

3. Copyright © 2014, 2010, 2007 Pearson Education, Inc. Slide 3 Find square roots using the square root key on a calculator.

4. Copyright © 2014, 2010, 2007 Pearson Education, Inc. Slide 4 Find square roots using the square root key on a calculator. A number that has a whole number as its square root is called a perfect square. If a number is not a perfect square, then you can find its approximate square root by using a calculator with a square root key.

5. Copyright © 2014, 2010, 2007 Pearson Education, Inc. Slide 5 Find square roots using the square root key on a calculator. Use a calculator to find each square root. Round to the nearest thousandth. (a) Calculator shows 5.916079783; round to 5.916 (b) Calculator shows 11.13552873; round to 11.136 Example

6. Copyright © 2014, 2010, 2007 Pearson Education, Inc. Slide 6 Find the unknown length in a right triangle. The longest side of a right triangle (triangles with a 90° angle) is called the hypotenuse. It is opposite the right angle. The other two sides are called legs. The legs form the right angle.

7. Copyright © 2014, 2010, 2007 Pearson Education, Inc. Slide 7 Find the unknown length in a right triangle.

8. Copyright © 2014, 2010, 2007 Pearson Education, Inc. Slide 8 Find the unknown length in the right triangle. Example Find the unknown length in a right triangle. The unknown side is the hypotenuse. The hypotenuse is 5 ft long.

9. Copyright © 2014, 2010, 2007 Pearson Education, Inc. Slide 9 Find the unknown length in the right triangle. Round your answers to the nearest tenth when necessary. Example Find the unknown length in a right triangle. The unknown side is a leg. The leg is 13.3 cm long.

10. Copyright © 2014, 2010, 2007 Pearson Education, Inc. Slide 10 A television antenna is on the roof of a house, as shown. Find the length of the support wire. Round your answer to the nearest tenth of a meter. Example Solve application problems involving right triangles.

11. Copyright © 2014, 2010, 2007 Pearson Education, Inc. Slide 11 (continued) Example Solve application problems involving right triangles. A right triangle is formed. The total length of the leg on the left is 3 m + 2 m = 5 m. The length of the support wire is approximately 6.4 m.