Lesson 7 – 3: Special Right Triangles 6/3/2018 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! What makes a number smaller? What makes a number larger, multiplication or division of a number greater than 1??? Right, multiplication! What makes a number smaller?

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

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.

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

p. 366, Check Understanding #1 Find the length of the hypotenuse of a 45º-45º-90º triangle with legs of length      Period 8 ended here 45

Real-World Connection 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? 60 ft 45 c 45

Problem o’ the Day 6/3/2018 Things to go over: 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. 45 Start here 4/8/08 c 100 ft 100 ft

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

p. 368, Check Understanding #4 30 60 x y 8 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

p. 368, Check Understanding #5 30 60 f d 5 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.

Real-World Connection 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. 1 m h 60 0.5 m 0.5 m Start here Period 8 on 4/9/08

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!!! 10 in. 10 in. 60º 5 in. 30º 30º 60º 5 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.