Exterior Angle Theorem
Triangle Sum Theorem
Find the Hypotenuse
Find the Missing Side
Pythagorean Theorem Facts
Polygons
100
Describe the exterior angle theorem in words.
The exterior angle theorem says that the exterior angle is equal to the sum of the two remote interior angles.
100
The sum of the interior angles of a triangle.
180 degrees.
100
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 6 and 8.
a2 + b2 = c2
62 + 82 = c2
(6x6) + (8x8) = c2
36 + 64 = c2
100 = c2
sqrt(100) = sqrt(c2)
10 = c
100
Use the Pythagorean theorem a2 + b2 = c2 to find the missing SIDE for the triangle with b=3 and c=5
a=4
100
In the Pythagorean theorem a2 + b2 = c2, what are a and b called?
Legs
100
What is the variable we use to represent the unknown number of sides of any polygon?
n
200
If one remote interior angle is a right angle, and the other measures 45 degrees, what is the measure of the exterior angle?
135 degrees.
200
In the Right Triangle ABC, the measure of angle A is 20, angle C is a right angle, what is the measure of angle B?
Triangle Sum Theorem
/_A+/_B+/_C=180
20+/_B+90=180
/_B+110=180
/_B+110-110=180-110
/_B=70 degrees
200
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 5 and 12.
a2 + b2 = c2
52 + 122 = c2
(5x5) + (12x12) = c2
25 + 144 = c2
169 = c2
sqrt(169) = sqrt(c2)
13 = c
200
Your team gets 200 free points!!!
200 Free Points
200
In the Pythagorean theorem a2 + b2 = c2, what is "c" called?
Hypotenuse
200
The formula for finding the sum of the interior angles of a polygon.
What is 180(n-2) ?
300
If the remote interior angles measure 26 and 134 degrees, what is the measure of the exterior angle?
160 degrees.
300
In Triangle ABC, if angle B is 55 degrees and angle angle C is 65 degrees, what is the degree measure of angle A?
60 degrees
300
Mr. Hall saw an advertisement of a TV in the newspaper where it is mentioned that the TV is 16 inches in width and 14 inches in height. Calculate the diagonal length of its screen for Mr. Hall.
a2 + b2 = c2
162 + 482 = c2
(16x16) + (14x14) = c2
256 + 196 = c2
452 = c2
sqrt(452) = sqrt(c2)
21.3 = c
The diagonal length of the TV screen is 21.3 inches.
300
Use the Pythagorean theorem a2 + b2 = c2 to find the missing SIDE for the triangle with a=15 and c=17
b=8
300
Pythagorean Theorem can ONLY be used with _________________.
Right triangles
300
The sum of interior angles for any hexagon.
What is 720 degrees?
400
If the exterior angle is 155 degrees and one of the remote interior angles is 35 degrees, what is the measure other remote interior angle?
120 degrees
400
Is it possible to have two right angles in a triangle? Why or why not?
Is it possible to have two right angles in a triangle? Why or why not?
400
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 8 and 15.
17
400
Use the Pythagorean theorem a2 + b2 = c2 to find the missing SIDE for the triangle with b=12 and c=20
a=16
400
True or False:
Pythagorean Theorem can be used to only find the hypotenuse
False
400
180(n-2)/n
What is the formula to find the measure of one interior angle of a regular polygon?
500
Find x if the remote interior angles are represented by x+3 and x, and the exterior angle measures 149 degrees.
x = 73
500
In Triangle ABC, if angle A is x, angle B is 2x, and angle C is 3x, what is x?
x=30
500
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 12 and 16.
20
500
Use the Pythagorean theorem a2 + b2 = c2 to find the missing SIDE for the triangle with b=12 and c=15
a = 9
500
What is the name of the man that the Pythagorean theorem is named after?
Pythagoras
500
The measure of one interior angle of a octagon.
What is 135 degrees?