Pythagorean Theorem
Pythagorean Theorem Converse/Inequality
45-45-90 Triangles
30-60-90 Triangles
Surprise Me!
100
Do the following side lengths form a Pythagorean triple?
6 cm, 8 cm, 10 cm
Yes.
62 + 82 = 102
36 + 64 = 100
100
What acronym can you use to remember the three trigonometric ratios? Give the correct spelling.
SOHCAHTOA
100
If 45-45-90 triangle has a hypotenuse of 4√2 then what is the length of one of the legs of that triangle?
4
100
In a 30-60-90 triangle, the short leg is 1. How long is the long leg AND the hypotenuse? Your answers should be in simplified radical form.
Long leg is √3.
Hypotenuse is 2.
100
simp radicals and quadratics
No
200
What kind of triangle has side lengths 5 ft, 6 ft, and 10 ft? Acute, Right, or Obtuse?
An obtuse triangle.
200
In a right triangle, the hypotenuse is 10 in. How long is the side opposite the 32 degree angle? Round to the nearest tenth.
5.3 in.
200
Is a 45-45-90 Triangle always Equilateral, Isosceles, or Scalene?
Isosceles
200
In a 30-60-90 triangle, the hypotenuse is 4 ft. What is the length of the short leg?
2 ft
200
When do you use the inverse trigonometric functions?
When trying to find an angle measure.
300
If a ladder is leaning against a wall so that it reaches a height of 12 feet, and the base of the ladder is 5 feet from the base of the wall, how long is the ladder?
13 feet
300
Which trigonometric ratio should you use if you know the opposite side and are trying to find the length of the adjacent side?
Tangent
300
In a 45-45-90 triangle, one of the legs is 3 ft long. How long is the hypotenuse? Your answer should be in simplified radical form.
3√2 ft
300
Is a 30-60-90 triangle equilateral, isosceles, or scalene?
scalene
300
What kind of angles look downwards from a horizontal line of sight?
Angles of Depression
400
Find x:
5
400
If the side opposite a 48 degree angle is 15 cm, what is the adjacent side length? Round to the nearest tenth.
13.5 cm
400
If a square has a diagonal of length 16 meters, what is the side length of the square rounded to the nearest tenth of a meter?
11.3 meters
400
If the long leg of a 30-60-90 triangle is 11 cm, what is the length of the hypotenuse in simplest radical form?
22√3/3 cm
400
While flying a kite, Linda lets out 45 feet of string and anchors it to the ground. She determines that the angle of elevation of the kite is 58 degrees. What is the height of the kite from the ground? Round to the nearest tenth.
38.2 feet