You're Irrational
Simplify √88
2√11
Find the geometric mean of 4 and 16.
8
The legs of a right triangle are 300 and 400. Find the hypotenuse.
500
A triangle has side lengths of 3, 3, and 3√2. What type of special right triangle is it?
45-45-90
If sinA = 5/13, then find cosA.
12/13
Simplify √250
5√10
Find the geometric mean of 9 and 13 to the nearest tenth.
10.8
The legs of a right triangle are √5 and √35. Find the length of the hypotenuse in simplified radical form.
2√10
The longer leg of a 30-60-90 triangle is 8√3 units long. Find the length of the shorter leg and the hypotenuse.
Shorter leg: 8, Hypotenuse:16
In right triangle ABC, B is the right angle, m<A=25o, and BC=14. Find the length of AC to the nearest tenth.
33.1
Simplify 2*√75
10√3
11 is the geometric mean of 1 and what number?
121
A 25-foot ladder leans against a wall, where the top of the ladder is 24 feet off the ground. If the base (bottom) of the ladder is pulled back 8 feet, find the new ladder height.
20 feet
The length of a diagonal of a square is 12 units long. Find the length of each side of the square.
6√2 units
In right triangle LMN, M is the right angle, LM=20.3, and MN=17.6. Find m<L to the nearest tenth.
40.9o
Simplify 2√6*√12
12√2
The altitude to the hypotenuse of a right triangle cuts the hypotenuse into segments of length 4 and 9. Find the length of the altitude.
6 units
On the coordinate plane, Point A = (2, 3) and Point B = (6, 0). Find the length of segment AB, in simplified radical form.
5 units
The angle of elevation between you and the top of the Washington Monument is 60 degrees. You then measure your distance to the base of the monument to be ~320.4 ft. How tall is the monument to the nearest foot?
~ 555 ft
A store needs to build a wheelchair ramp for its customers. The angle of elevation for the ramp should be set at 5o. If the vertical distance from the pavement to the front entrance is 1.5 feet, then how long will the ramp be? Round your answer to the nearest tenth.
17.2 feet