The Geometric Mean
The Pythagorean Theorem
Special Right Triangles
Trigonometry
Area of a Triangle
100
What is the geometric mean of 4 and 64?
16
100
What is the measure of the hypotenuse of a right triangle with a leg = 3, and the other leg = 4.
5
100
What type of special triangle is an isosceles triangle?
45-45-90
100
What type of triangles do trigonometric ratios involve?
Right triangles
100
Write the formula for the area of a triangle given its base and height.
A=1/2bh
200
What is the geometric mean of 3 and 27?
9
200
The measure of a leg of a right triangle with the other leg = 6, and the hypotenuse = 10
8
200
What is the length of the hypotenuse equal to in a 45-45-90 triangle?
The square root of 2 times the measure of the legs
asqrt2
200
What is a memory aid (mnemonic) of the Trig ratios SINe, COSine, and TANgent?
SohCahToa
200
What formula do we use when instead of the height, we get an angle measure and its sides?
A=1/2*b*c*sinA
300
What is the geometric mean of 1 and 9?
3
300
What is the length of a leg if one leg equals 10 and the hypotenuse equals 26?
24
300
What is the measure of the HYPOTENUSE of a 30-60-90 right triangle?
2 times the measure of the short leg
300
Solve for x. Round to the nearest hundredth
x=6.48
300
Find the area of the triangle
10.04 ft2
400
What is the geometric mean of two positive numbers?
The square root of the product of the two numbers.
a/x = x/b
x=sqrt(a*b)
400
What is the length of the hypotenuse if one leg equals 30 and the other leg equals 16
34
400
Solve for x and y
x=9
y=9
400
Solve for x. Round to the nearest tenth
x=31.8
400
Find the area of the triangle. Round your answer to two decimal places.
4.03 cm2
500
Find x for the given triangle.
9
500
What is the length of the hypotenuse if one leg equals 21 and the other leg equals 72?
75
500
Find the values of x and y for the 30-60-90 triangle below
y=8
x=8sqrt3
500
Kevin stands at the top of tower A and looks down along a zipline to Keon, who is standing at the top of tower B. The angle of depression from Kevin looking down the zipline to Keon is 35°. The zipline between the towers is 150 m long. How far apart are the bases of the two towers (what is their horizontal distance)?
122.87 meters
500
The area for the triangle below is 30 cm2. Find the length of side x
x = 8.12 cm