Show:
Pythagorean Theorem
Right, Acute, or Obtuse
Special Right Triangles
Trigonometry
In Words
100
What is Pythagorean Theorem?
a2 + b2 = c2
100
3,4,5
right triangle
100
Come up to the board and draw the 45-45-90 special triangle, with the sides labeled
hypotenuse = √2 * leg sides are congruent
100
SIN = COS = TAN =
opp/hypot adj/hypot opp/adj
100
How do you know if a triangle is acute?
c^2 < a^2 + b^2
200
What is always c?
The hypotenuse
200
10, 11, 12
Acute
200
Come up to the board, draw and label the 30-60-90 special triangle
hypotenuse = 2 * short leg long leg = √3 * short leg
200
Refer to the board, what is the SIN ratio for angle B
1/4
200
What is a pythagorean triple?
Non-zero whole numbers that satisfy Pythagorean Theorem
300
Is this a pythagorean triple 8,15,17?
Yes - 289 = 289
300
7,24,25
Right
300
45-45-90 Triangle: The hypotenuse is 10 What is the length of s?
s = 5√2
300
Refer to the board, what is the measure of angle X?
x = 36.86
300
What do we use Trigonometric Ratios for?
To find the length of a missing side or a missing angle
400
20 and 21 are the legs, find the hypotenuse
29
400
26, 7, 38
Obtuse
400
In a 30-60-90 triangle: The hypotenuse is 36 What is the short leg and long leg?
Short Leg = 18 Long Leg = 18√3
400
Refer to the board, what is the length of k?
k = 8.029
400
What do you know about a 45-45-90 triangle?
Sides are congruent
500
16 is the hypotenuse, 10 is a leg...Find the missing leg
2√39
500
100, 121, 225
Obtuse
500
In a 30-60-90 triangle, the long leg is 13. What is the short leg? What is the hypotenuse?
Short Leg = (13√3)/3 Hypotenuse = (26√3)/3
500
Refer to the board, find angle P
p = 41.987
500
What is sin^-1 called?
Inverse of sine