Geometric Mean Basics
What is the geometric means between 4 and 9?
6
In right triangle, what is the formula for the geometric mean using segments on the hypotenuse?
altitude^2 = seg 1 times seg 2
In a right triangle, each leg is the geometric mean between what?
The hypotenuse and the adjacent segment
State the Pythagorean Theorem
a^2 + b^2 = c^2
Three integers that satisfy a^2 + b^2 = c^2
What is the geometric mean between 1/2 and 2 is..?
1
If an altitude divides the hypotenuse into 9 and 15, what is the length of the altitude?
12
If leg = 8, hypotenuse = 10. Find the adjacent segment
6.4
Yes
What type of triangle is formed by 6, 8 , and 10?
Right
True of False. The geometric mean is always greater than the arithmetic mean
False
In triangle ABC, BD is the altitude. If CD = 4 and AD - 9. Find BD
6
RP = 25, SP = x and a leg = 15. Solve for x
x = 9
If a triangle has legs 9 and 12, find the hypotenuse
15
Triangle with sides 10,15,and 20 is what type of triangle ? Right, acute, obtuse
Obtuse
Find the Geometric mean between 12 and 75
30
If the legs of a right triangle are 6 and 8, what is the hypotenuse?
10
RS = 16, RP = 25. Find the altitude
20
If the hypotenuse 17 and one leg is 8. find the other leg
15
Triangles with sides 5,12, and 14 - classify it
Right
What value of x makes the proportion 4 / x = x / 25 true?
10
Given that one leg is 5 and the hypotenuse is 13 find the other leg.
12
If AC = 13, AB = x and AD = 4. Find x using geometric mean
8
A triangle has sides 10,24, and x. If it is a right triangle find x.
26
Determine if square root of 5, square root of 12 and square root of 13 can form a triangle. If so classify it
Yes right