Pythagorean Theorem and Angles
Angle 2 is 115°, that would make angle 1
65
If angle a is 35°, angle b is
65
12
Find b: a=5 b=? c=13
c, and the longest side of a right triangle
Hypotenuse
No
Is this a right triangle: a=4, b=6, c=9
labeled a and b, the other two sides of the right triangle
Leg
the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Pythagorean Theorem
a triangle where one angle is guaranteed to be 90 degrees.
Right Triangle
yes
Would these three sides form a right angle 8, 15, 17
5
a=3 b=4 c=?
10
a=6 b=8 c=?
25
a=7 b=24 c=?
two angles that add up to 90°
complementary angles
Angles 1 and 2 are corresponding angles, which means they are ______________________
congruent
same size and same value
congruent
The longest side of a right triangle. It is always opposite of, and never is a part of, the right angle.
hypotenuse
Math operations that reverse the effect of each other.
inverse operations
Either of the two shortest sides of a right triangle, they meet at a common vertex to form a right angle.
leg
The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.
pythagorean theorem
An angle of exactly 90 degrees.
right angle
The result of multiplying a number by itself.
square
two angles that add up to 180°
supplementary angles
√47 ≈
≈ 6.86