Special Right Triangles Chapter 8 3 DNA NUMBER

Special Right Triangles Chapter 8. 3 DNA

NUMBER SENSE

STATISTICS, DATA, AND PROB.

ALGEBRA AND FUNCTIONS

MEASUREMENT AND GEOMETRY

MATHEMATICAL REASONING

ALGEBRA 1

Find the length of the Hypotenuse 45 o 5

Find the length of the Hypotenuse 45 o x

o o o 45 -90 Triangle • The hypotenuse is 2 times as long as each leg. • x, x, x( 2) x x

Find the missing sides 7 7

Find the missing sides 8 8

Find the missing sides

Find the length of the missing side 30 o 10 60 o 5

Find b. A. B. 3 C. D. 1. 2. 3. 4. A B C D

Find the length of the missing side 30 o 2 x 60 o x

o o o 30 -60 -90 Triangle • Legs x, x 3 • Hypotenuse 2 x 30 o 2 x 60 o x

Find the missing side lengths 30 o 16 60 o 8

Find the missing side lengths 30 o 12 60 o 6

Find the missing side lengths 30 o 15 60 o

Find the missing side lengths 30 o 8 60 o

Find the missing side lengths 30 o 12 60 o

Find BC. A. 4 in. B. 8 in. C. D. 12 in. 1. 2. 3. 4. A B C D

Special Triangles in a Coordinate Plane Copy this problem! COORDINATE GEOMETRY ΔWXY is a 30°– 60°– 90° triangle with right angle X and as the longer leg. Graph points X(– 2, 7) and Y(– 7, 7), and locate point W in Quadrant III.

Special Triangles in a Coordinate Plane Graph X and Y. lies on a horizontal gridline of the coordinate plane. Since will be perpendicular to it lies on a vertical gridline. Find the length of Short leg YX= 5 II I Long leg XW = Coordinates: III IV W (-2, -1. 7)

COORDINATE GEOMETRY ΔRST is a 30°– 60°– 90° triangle with right angle R and as the longer leg. Graph points T(3, 3) and R(3, – 6) and locate point S in Quadrant III. What are the approximate coordinates of S? A. (– 4. 8, – 6) B. (– 2. 2, – 6) C. (– 1. 5, – 6) D. (– 12. 6, – 6) A. B. C. D. A B C D

Homework Chapter 8. 3 • pp. 451 #1 – 5, 8 - 15, 34, 36, 40, 42, 44 and 48