1. 4
Chapter
Chapter 2
Decimals

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

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

4. 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

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

6. Approximate Square Roots.
Objective B
Approximate Square Roots.

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

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

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

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

11. 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

12. 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