Pythagorean Theorem
Find the missing side:
Legs are 3 and 4.
5
Angles: 50° and 60°.
Find the third angle.
70
Complement of 53°
37
All sides equal.
Equilateral
Are vertical angles congruent?
Yes
Find the hypotenuse:
Legs are 6 and 8.
10
Angles: x, x, and 40°.
Find x.
70
Supplement of 119.5°
60.5
Two sides equal and one angle > 90°.
Obtuse and isosceles
If one angle is 120°, its vertical angle is:
120
Find the missing leg:
Hypotenuse = 13, one leg = 5.
12
Angles: x + 20°, x + 10°, and 50°.
Find x.
30
Two angles are complementary.
One is 42°.
Find the other.
48
All angles < 90° and two sides equal.
Acute and isosceles
If two angles form a straight line, they are:
Supplementary
Find the perimeter of a right triangle
with legs 6 and 7.
22.2
One angle of an isosceles triangle is 114°.
What are the other two angles?
33° and 33°
Two angles are supplementary.
One is 148°.
Find the other.
32
Sides 3, 4, 5.
Right scalene
If angle A and angle B are complementary,
and A = 25°, find B.
65
A right triangle has legs 9 and 12.
Find the perimeter.
36
Angles: 2x − 10, x + 20, and 60.
Find x.
30
An angle is both complementary to A
and supplementary to B.
If A = 35°, find B.
Complement = 55°
So B = 125°
Angles: 60°, 60°, 60°
Acute and equilateral
If two vertical angles are labeled
(3x + 10) and (5x − 14), find x.
12