1. Pencil, highlighter, red pen, GP NB, textbook, homework
Have out:
U7D8
Bellwork:
Use special right triangles to find the missing sides.
(Do not use a calculator to approximate…be exact!) a) b) c) a 10 b b 2
45°
45°
30°
60° b a a

2. a 10 b b 2 45° 60° 30° b a a 45- 45- 90 Triangle:c) a 10 b b 2
45°
60°
30° b +1 a a
45- 45- 90 Triangle: +1
Legs: n
Hyp.: n
30- 60- 90 Triangle:
Short Leg: n
Hyp: 2n
Long Leg: n +1 +1
a = 2u
a = 2 u
b = 2u
b = 4u +1 +1 +1
a = 5u +1
30- 60- 90 Triangle:
b = 5 u +1
Short Leg: n
Hyp: 2n
Long Leg: n

3. Yes, the calculator gives the same answer!
Sketch a triangle with a 90˚ and two 45˚ angles. Let one leg be 8 units long.
a) What is the length of the other leg?
b) Find tan(45˚) by using the appropriate sides. Does this agree with your calculator?
The other leg must also be 8 units long by the Converse of the Isosceles ∆ Thm (2 s of ∆ → ∆ is Isosceles).
45° 8 ?
45° 8
Yes, the calculator gives the same answer!

4. Solve for x and y without using your calculator.
a) b) y x y x
45°
30°
20’
33’
30- 60- 90 Triangle:
45- 45- 90 Triangle:
Short Leg: n
Hyp: 2n
Long Leg: n
Legs: n
Hyp.: n
=33 ft
=20 ft
x = ft
x = ft
y = ft
y = ft

5. Solve for x and y without using your calculator. Try these…
c) d)
60° b y a x
30°
45° 15
45- 45- 90 Triangle:
30- 60- 90 Triangle:
Legs: n
Hyp.: n
Short Leg: n
Hyp: 2n
Long Leg: n
=15u
x = u
y = u
a = u
b = u

6. Work on the
Worksheet & CTP.
(Don't forget to do T-83!)

7. T - 83
Solve for x.
a) b) ( ) ( ) 20 20 4
+ 5x = 28
- x
x = 5,-8