Pythagorean Theorem
What is the Pythagorean Theorem formula?
a2+b2=c2
What special right triangle is formed by cutting a square in half diagonally?
A
45-45-90
What are the corresponding sides of similar triangles?
Proportional
What is the definition of tangent in a right triangle?
Opposite over adjacent
What is the angle above horizontal to an object above you?
Angle of elevation
What is the most basic Pythagorean triple?
3, 4, 5
What is the hypotenuse of a 45-45-90 triangle if the leg is s?
Ssqrt2
What is the length of the altitude to the hypotenuse called in relation to the segments it creates?
The geometric mean
What is the sine of 45 degrees?
sqrt2/2
What is the angle below horizontal to an object below you?
Angle of depression
What type of triangle is it if?
Obtuse
What special right triangle is formed by bisecting an equilateral triangle?
30-60-90
How many similar triangles are formed when the altitude is drawn to the hypotenuse?
Three
What is the sine of 60 degrees?
sqrt3/2
What inverse function finds an angle when given the tangent ratio?
arctan or tan⁻¹
What is the Pythagorean triple where one leg is 5?
5, 12, 13
In a 30-60-90 triangle, what is the length of the shorter leg in relation to the hypotenuse?
Half the hypotenuse
If a and b are two numbers, what is their geometric mean?
ab
What is the relationship between the angles whose sine and cosine are equal?
Complementary angles
What inverse function finds an angle when given the sine ratio?
arcsin or sin⁻¹
What type of triangle is it if ?
Acute
What is the longer leg of a 30-60-90 triangle if the shorter leg is s?
Ssqrt3
What line segment creates similar triangles when drawn to the hypotenuse?
The altitude
What is the definition of sine in a right triangle?
Opposite over hypotenuse
What is the acute angle that any angle in any quadrant can be related to?
Reference angle