4 Chapter Chapter 2 Decimals

Square Roots and the Pythagorean Theorem Section 4.6 Square Roots and the Pythagorean Theorem

Find the Square Root of a Number. Objective A Find the Square Root of a Number.

Square Root of a Number Finding Square Roots A square root of a number a is a number b whose square is a. We use the radical sign to name square roots. In symbols, Objective A 4

Example Example Find each square root. a. b. c. Objective A 5

Approximate Square Roots. Objective B Approximate Square Roots.

Example Example Approximate each square root to the nearest thousandth. a. b. c. Objective A 7

Use the Pythagorean Theorem. Objective C Use the Pythagorean Theorem.

Using the Pythagorean Theorem In any right triangle, (leg)2 + (other leg)2 = (hypotenuse)2 hypotenuse leg Objective A 9

Using the Pythagorean Thoerem Using the Pythagorean Theorem Finding an Unknown Length of a Right Triangle Objective A 10

Example Example Find the length of the hypotenuse of the given right triangle. 22 m 48 m Objective A The hypotenuse is approximately 53 meters long. 11

Example Example Find the length of the leg of the given right triangle. 9 yd 3 yd Objective A The leg is approximately 8 yards long. 12