1. Chapter 10 Real Numbers and Right Triangles Starting on page 532 Intro: Complete page 533 #1-20

2. 10-1 Squares and Square Roots A Square Root of a number is one of its two equal factors. If x 2 = y, then x is a square root of y A radical sign A radical sign is used to indicate a positive (principal) square root. 49 = 7 - 49 = -7 49 = 7 -25 = has no real-number square root

3. More square roots A perfect square is the square of an integer. The opposite of squaring is finding the square root. irrational numbers Perfect squares have exact square roots, all other square roots are approximations (irrational numbers) unless we express them using a radical. Examples and assignment pg. 540-541

4. 10-2 The Real Number System Sets of real numbers: – Rational Numbers: any number that can be written as a fraction – Whole numbers = counting numbers and zero 0,1,2,…. – Integers = positive and negative whole numbers – Irrational Numbers: numbers that cannot be written as fractions; pi and 3.34564543231978…

5. Classify: (name) 1)0.4 2)¾ 3)5 4)-7 Ordering real numbers Convert all to decimal form, at least 2-3 places Solving equations 1)363 = 3d 2 2)6y 2 = 486 Assignment: Pg. 546-548 #14-40 evens #75-80

6. 10-3 Triangles Formed by 3 line segments that intersect only at endpoints (vertex) Angles of a Triangle The sum of the angles equals 180 o m∟x +m∟y +m∟z = 180 o Measure of angle x, Use a ratio: 2:3:5 2x + 3x + 5x = 180 10x = 180 x = 18 The measure of 3 angles are: 2(18) = 36 o 3(18) = 54 o 5(18) = 90 o

7. Classifying Triangles By Angle Acute Triangle All angles less than 90 Right Triangle One right angle Obtuse Triangle One angle over 90 By Side Scalene Triangle No congruent sides Isosceles Triangle 2 congruent sides Equilateral Triangle All sides congruent