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7/6/2017 Things to go over: Homework: p. 355, 1 – 24. Problem o’ the Day What are the measures of the acute angles of an isosceles right triangle? Correct What makes a number What makes aor Right, larger, multiplication again, division of smaller? a number number multiplication! greater than 1??? division! The 45 - 45 - 90 Triangle Divide by 2 Hypotenuse To the shorter Side 45 x 2 x 45 x Shorter Side To the Hypotenuse Multiply by 2 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. p. 366 a. 9 45 h 9 2units 45 h b. x 45 2 2 x 45 2 2 2 x 2 units 45 x 2 x 45 x p. 366, Check Understanding #1 Find the length of the hypotenuse of a 45º-45º-90º triangle with legs of length 5 3 45 x 2 x 45 x 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 60 2 ft. c 85 ft. 45 c 45 45 x 2 x 45 x 60 ft 60 ft 7/6/2017 Things 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 2 ft. 45 c c 141 ft. 45 100 ft 100 ft The 30 - 60 - 90 Triangle 30 2x x 3 60 Divide by 3 x 30 Multiply by 2 2x x 3 60 Multiply by 3 x Divide by 2 p. 368 60 8 y Find the value of each variable. 30 x p. 368, Check Understanding #4 Find the lengths of the legs of a 30º-60º-90º triangle with hypotenuse of length 12 p. 368 5 d Find the value of each variable. 60 30 f p. 368, Check Understanding #5 The shorter leg of a 30º –60º –90º triangle has length 6 . What are the lengths of the other two sides? Leave your answers in simplest radical form. p. 368 Real-World Connection Road Signs A moose warning sign is an equilateral triangle. Each side is 1 m long. Find the area of the sign. 1m h 60 0.5 m 0.5 m 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 10 in. 30º 60º b. a 60º angle 5 in. 10 in. 30º 5 3in. 10 in. 60º 5 in. 10 in. 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.