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4/2/2014 Things to go over: Homework: p. 355, 1 – 24.

4/2/2014 Things to go over: Homework: p. 355, 1 – 24. Lesson 7 – 3: Special Right Triangles. Problem o’ the Day What are the measures of the acute angles of an isosceles right triangle?. Correct again, division!.

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4/2/2014 Things to go over: Homework: p. 355, 1 – 24.

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  1. 4/2/2014Things to go over: Homework: p. 355, 1 – 24. Lesson 7 – 3: Special Right Triangles Problem o’ the Day What are the measures of the acute angles of an isosceles right triangle?

  2. Correct again, division! What makes a number larger, multiplication or division of a number greater than 1??? Right, multiplication! What makes a number smaller?

  3. 45 45 The 45 - 45 - 90 Triangle Hypotenuse To the shorter Side To the Hypotenuse This template will be provided on every quiz and test. Shorter Side

  4. Why does it work? If the length of two congruent sides in a right triangle are x, in terms of x, find the length of the hypotenuse in simplest radical form.

  5. 45 45 a. 45 45 b. 45 45 p. 366 Shorter side to hypotenuse; multiply by radical 2. Hypotenuse to shorter side; divide by radical 2.

  6. 45 45 p. 366, Check Understanding #1 Find the length of the hypotenuse of a 45º-45º-90º triangle with legs of length

  7. 45 45 45 60 ft 60 ft 45 p. 367 Real-World         Connection Softball A high school softball diamond is a square. The distance from base to base is 60 ft. To the nearest foot, how far does a catcher throw the ball from home plate to second base? c

  8. 45 45 4/2/2014Things to go over: Problem o’ the Day p. 367, Check Understanding # 1 A square garden has sides 100 ft long. You want to build a brick path along a diagonal of the square. How long will the path be? Round your answer to the nearest foot. c 100 ft 100 ft

  9. 30 60 30 60 The 30 - 60 - 90 Triangle This template will be provided on every quiz and test.

  10. 60 8 y 30 x p. 368 Find the value of each variable. p. 368, Check Understanding #4 Find the lengths of the legs of a 30º-60º-90º triangle with hypotenuse of length 12

  11. 5 d 60 30 f p. 368 Find the value of each variable. p. 368, Check Understanding #5 The shorter leg of a 30º –60º –90º triangle has length    . What are the lengths of the other two sides? Leave your answers in simplest radical form.

  12. p. 368 Real-World         Connection Road SignsA moose warning sign is an equilateral triangle. Each side is 1 m long. Find the area of the sign. 1 m h 60 0.5 m 0.5 m

  13. 10 in. 10 in. 10 in. 10 in. p. 369, Check Understanding #6 6. A rhombus has 10-in. sides, two of which meet to form the indicated angle. Find the area of the rhombus (Hint: Use a special right triangle to find the height.) a. a 30º angle Find the height!!! b. a 60º angle Find the height!!! 60º 5 in. 30º 30º 60º 5 in.

  14. Classwork: p.369-370, #’s 1 - 23 odd. Homework: p.369-370, #’s 2 – 22 even. Quiz in two days on Sections 7-1 to 7-3.

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