Pythagorean Theorem
Longest side in a right triangle
What is the hypotenuse?
In a 45-45-90 triangle, the hypotenuse is __ times as long as each leg
What is the square root of 2?
Formula for geometric mean
What is the square root of ab?
Opposite/adjacent ratio
What is tangent?
Is 56, 105, 119 a pythagorean triple?
What is yes?
Equation to find side lengths of segments in a right triangle
What is c2 = a2 + b2
In a 30-60-90 triangle, the hypotenuse is twice as long as the shorter leg, and the longer leg is __ times as long as the shorter leg.
What is the square root of 3?
If the _____ is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other.
What is altitude?
Sin of angle A
Hypotenuse: 25, Adjacent: 24, Opposite:7
What is 7/25?
In a 45°-45°-90° triangle...
Hypotenuse = square root 2 * ____
What is leg?
Length of hypotenuse
Legs: 9, 12
What is 15?
The type of special right triangle
Length of legs: x
What is 45-45-90
The reflexive angles in the triangle similarity CBD-ABC-ACD
What are A and B
Two acute angles in a right triangle are complementary to each other. One of their angle measures is 67°.
Sin 67° = Cos ___
What is 23°?
There are two acute angles in a right triangle, A and B.
Sin A = ____
Four most common Pythagorean Triples
What are (3,4,5), (5,12,13), (8,15,17), and (7,24,25)
Solutions to the longer leg and hypotenuse
Angle: 30 degrees
Shorter leg: 9
What is 18 and 9*square root 3?
The corresponding geometric mean theorem to this equation
CD2 = AD * BD
What is geometric mean (altitude) theorem?
In any right triangle ABC (angle A and B being the acute angles), is it possible for Sin A, Cos B, and Tan B to be the same?
What is no?
The opposite side of an angle is 4896 feet long. The adjacent side of an angle is 72 feet long. What is the tangent of that angle?
What is 68?
Length of hypotenuse
Legs: 24, 45
What is 51?
A truck is traveling up a 40' ramp at a 45 degree angle. If the ramp is the shorter leg of a right triangle, how long is the hypotenuse?
What is 80 feet?
Length of leg if adjacent segment is DB and hypotenuse is AB
DB = 8
AB = 50
What is 20?
A ten-foot-tall tree is planted in the middle of a circular dirt space with a diameter of twenty feet. The tree's shadow rests at the border of the dirt area. If a line is drawn from the top of the tree to the tip of the shadow, and that line forms angle at the border, what is tangent of that angle?
What is one?
Fermat's Last Theorem
What is x2+y2 cannot = z2 when n>2