Right, Acute, or Obtuse
5, 12, 13
Right
What are the side relationships for a 30-60-90?
x, xrad3, 2x (30-60-90)
A right triangle has a hypotenuse of 18 and one leg measures 5. What is the length of the other leg?
17.3
Mary is flying a kite. The length of the kite string is 55 feet and she is positioned 40 feet away from beneath the kite. About how high is the kite?
37.7 feet
What is the distance formula?
d = sqrt [(x2-x1)^2 + (y2-y1)^2]
3, 6, 9
Obtuse
What are the side relationships for a 45-45-90 triangle?
x, x, xrad2
A rectangle has a length of 12, and a height of 16. What is the length of the diagonal of the rectangle?
20
A floor exercise mat measures 40 ft by 40 ft. Find the measure of the diagonal.
56.6 feet
What is the distance between (8, 12) and (6,4)?
8.2
5, 2radical2, 9
Acute
In right triangle FUN, <F is 60 degrees, <N is 30 degrees and UF = 9. What is the measure of FN?
18
Find the diagonal of the rectangular prism or cube with the following measurements. Length: 8 Width: 4 Height: 5
10.3
Alex is pushing a man in a wheelchair up a ramp. The slant of the ramp is 50 feet long. The height of the ramp is 4 feet. What is the ground distance of the ramp?
49.8 feet
What is the length of a line segment which has endpoints at (-4,9) to (3, 7)? (Round to the nearest tenth.)
7.3
18, 30, 24
Right
In right triangle CAB, <B = 90 degrees, <C = 45 degrees and CA = 20. Find the length of AB.
AB = 10rad2
Find the diagonal of the rectangular prism or cube with the following measurements. Length: 10 Width: 6 Height: 6
13.1
A 13 foot ladder is leaning against a building. The base of the ladder is 5 feet from the building. How high on the building is the ladder?
12 feet
Find the value of a if the distance between the points at (7, 5) and (a, -3) is 10 units.
The missing coordinates are 1 or 13
64, 48, 56
Acute
In right triangle YUM, <U = 60 degrees, <M = 30 degrees and YM = 27. Find the length of UM.
18rad3
A triangle has sides of 15, 20, and 25 meters. Is this a right triangle?
Yes
If a 35 inch TV screen is 26 inches long, how tall is the screen?
23 inches
Find the value of a if the distance between the points at (10, a) and (1, -6) is √145 units.
The missing coordinates are -14 or 2