1. Lesson 7 – 3: Special Right Triangles
6/3/ 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?

2. 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?

3. 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

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

6. 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

7. 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

8. 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

9. 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

10. 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

11. 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.

12. 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

13. 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.

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