Geometric Mean
What is x equals the square root of (a*b)?
The Pythagorean Theorem only works on this kind of triangle.
What is a right triangle?
In a 30-60-90 triangle:
If the length of the short leg is 15, what is the length of the hypotenuse?
What is 30?
The three trig ratios that we have learned this semester
What are sine, cosine, and tangent?
A triangle with all acute angles
What is an acute triangle?
Find the geometric mean of 9 and 27.
What is 9 times the square root of 3?
A triangle with sides with the length of 8, 10, 12 is what kind of triangle?
What is acute triangle?
In a 45-45-90 triangle:
If the length of a leg is 17, what is the length of the hypotenuse?
What is 17 times the square root of 2?
You should use this trig ratio if you are given two sides of a right triangle that are not the hypotenuse.
What is tangent?
Lines that form right angles
What are perpendicular lines?
Find the geometric mean of 6 and 15.
What is 3 times the square root of 10?
The length of the hypotenuse of a right triangle is 13 cm. If the length of one of the other legs of the right triangle is 12 cm, what is the length of the third leg?
What is 5 cm?
If the length of the hypotenuse is 4, what is the length of the long leg?
What is 2 times the square root of 3?
You should use this trig ratio if you are given the adjacent side and the hypotenuse.
What is cosine?
A comparison of two quantities by division
What is a ratio?
What is 2 times the square 6?
If one leg of a right triangle has a length of 18 and the other leg of a right triangle has a length of 12, what is the length of the hypotenuse?
What is 6 times the square root of 13?
In a 45-45-90 triangle:
If the length of the hypotenuse is 14, what is the length of one of the legs?
What is 7 times the square root of 2?
A plane flying at an altitude of 20,000 feet begins descending when the end of the runway is 45,000 feet from a point on the ground directly below the plane.
Find the measure of the angle of descent (depression) to the nearest degree.
What is 24 degrees?
The angle formed by a horizontal line and the line of sight to an object below the horizontal line.
What is the angle of depression?
The length of the side of a right triangle if the altitude divides the hypotenuse into two sections:
-The section closest to the side we are trying to find is 6
-The section farthest from the side we are trying to find is 9.
What is 3 times the square root of 10?
If one leg of a right triangle has a length of 9 and the hypotenuse of the right triangle has a length of 13, what is the length of the other leg?
What is 2 times the square root of 22?
In a 30-60-90 triangle:
If the length of the long leg is 15, what is the length of the hypotenuse?
Find the angle of elevation of the sun if a building 170 feet tall casts a shadow 200 feet long.
Round to the nearest degree.
What is 40 degrees?
The perpendicular segment from a vertex to the line containing the side opposite that vertex.
What is the altitude?