'45 45 90 triangle' presentation slideshows

Two Special Right Triangles

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TAKES MATH OBJECTIVE 6 VOCAB

TAKES MATH OBJECTIVE 6 VOCAB. CONGRUENT. Vertical angles are always ____. 1. 2. SUPPLEMENTARY. Two angles whose sum is 180 ?. F. C. B. D. E. A. COMPEMENTARY. Two angles whose sum is 90 ?. Allow students to draw the angle pair with values. 2. 180 ?. 1. 3.

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Apply the Tangent Ratio

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Area of regular polygons

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Bellwork

Clickers. Bellwork. A. B. Find the measure of angle DBC in square ABCD In the previous example, find the area of triangle BDC What is the length of segment BD What is the area of an equilateral triangle with side length 10

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9-2

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Building The Unit Circle

Building The Unit Circle. By Michael Geiswhite ITC 525 Computers for Educators 2011 Summer Session I. Building The Unit Circle. History of Trigonometry History of the Unit Circle Important Triangles SOH CAH TOA Ratios Quadrants The Final Unit Circle Fun Facts Standards Credits.

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Check point 7.3-7.4

7.3 P 453-4 #4 #16. Check point 7.3-7.4. 7.4 P 461 #4. # 8. Geometry. Section 7.5 & 7.6 I can find the sin, cos, and tan ratios given the side of a right triangle. Sine, Cosine, Tangent Ratios. SOH CAH TOA. opp. S. 63. 16. RT. ST. =. =. =. 0.9692. hyp. SR. 65.

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Section 4.3

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CHAPTER 8

CHAPTER 8. By: Fiona Coupe, Dani Frese , and Ale Dumenigo. 8-1 Similarity in right triangles. Rt similarity - if the altitude is drawn to the hypotenuse of the triangle then the two small triangles are similar to each other

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Lesson 8-3: Special Right Triangles

Lesson 8-3: Special Right Triangles. Geometry CP Mrs. Mongold. Make a Frayer Foldable. 2. 1. Special Right Triangles. 3. 4. Section 1. 45-45-90 Triangle. 45. hypotenuse=leg. hypotenuse. leg. 45. leg. Section 2. 30-60-90 Triangle. hypotenuse=short x 2 Long leg = short. 30.

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Isosceles Triangle

Isosceles Triangle. B. x. D. 30 ?. 50 ?. C. A. In the figure above, DA = DB = DC. What is the value of x ? (A) 10 (B) 20 (C) 30 (D) 40 (E) 50. 30-60-90 Triangle. K. 60 ?. 30 ?. J. L. In ? JKL shown above, what is the length of segment JL? (1) JK = 10 (2) KL = 5.

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Bell Ringer

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Chapter 7 Lesson 3

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EXAMPLE 1

o. o. o. Find hypotenuse length in a 45-45-90 triangle. a. a. By the Triangle Sum Theorem, the measure of the third angle must be 45 . Then the triangle is a 45-45-90 triangle, so by Theorem 7.8 , the hypotenuse is 2 times as long as each leg. o. o. o. o. o. o. o.

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8.2 Special Right Triangles

8.2 Special Right Triangles. Theorem 8.5 45-45-90 Triangle Theorem. In a 45-45-90 triangle, both legs are congruent and the length of the hypotenuse is time the length of a leg. Hypotenuse= x leg. 45. 45. 90. Example #1. Find the vale of each variable. 90. 9. 45. 45. x.

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Geometry Section 7.4

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45-45-90 and 30-60-90

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SPECIAL

Computing the Values of Trig Functions of Acute Angles. USING. SPECIAL. TRIANGLES. In a 45-45-90 triangle the sides are in a ratio of 1- 1-. The 45-45-90 Triangle. This means I can build a triangle with these lengths for sides (or any multiple of these lengths).

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EXAMPLE 1

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