Special Right Triangles

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Presentation transcript:

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 5 45o

Find the length of the Hypotenuse x 45o

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

Find the missing sides 7 7

Find the missing sides 8

Find the missing sides

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

Find b. A. B. 3 C. D. A B C D Lesson 3 CYP2

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

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

Find the missing side lengths 8 60o 30o 16

Find the missing side lengths 60o 30o 12 6

Find the missing side lengths 60o 30o 15

Find the missing side lengths 60o 30o 8

Find the missing side lengths 60o 30o 12

Find BC. A. 4 in. B. 8 in. C. D. 12 in. A B C D Lesson 3 CYP3

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. Lesson 3 Ex4

II I III IV Coordinates: (-2, -1.7) W YX= 5 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: (-2, -1.7) III IV W Lesson 3 Ex4

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 Lesson 3 CYP4

Homework Chapter 8.3 pp. 451 #1 – 5, 8 - 15, 34, 36, 40, 42, 44 and 48