Determine the lengths of sides and measures of angles in a right triangle by applying the trigonometric ratios sine, cosine, and tangent to solve problems
Apply the relationships in special right triangles 30°-60°-90° and 45°-45°-90° and the Pythagorean theorem, including Pythagorean triples, to solve problems.
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Q 1/40
Score 0
A right triangle has one side measuring 5 units and another measuring 12 units. What is the length of the hypotenuse?
30
15 units
13 units
10 units
17 units
Q 2/40
Score 0
In a right triangle, if one angle measures 30 degrees, what is the measure of the other acute angle?
30
60 degrees
90 degrees
45 degrees
30 degrees
40 questions
Q.
A right triangle has one side measuring 5 units and another measuring 12 units. What is the length of the hypotenuse?
1
30 sec
111.41.C.9
Q.
In a right triangle, if one angle measures 30 degrees, what is the measure of the other acute angle?
2
30 sec
111.41.C.9
Q.
If a right triangle has a hypotenuse of length 15 units, and one leg measures 9 units, what is the length of the other leg?
3
30 sec
111.41.C.9
Q.
In a right triangle, the tangent of an angle is 3/4. What is the sine of that angle?
4
30 sec
111.41.C.9
Q.
A ladder leaning against a wall makes an angle of 60 degrees with the ground. If the ladder reaches up to a height of 10 feet on the wall, what's the length of the ladder?
5
30 sec
111.41.C.9
Q.
A right triangle has an angle measuring 45 degrees. The side opposite this angle has a length of 7 units. What is the approximate length of the hypotenuse?
6
30 sec
111.41.C.9
Q.
In a right triangle, if the length of the hypotenuse is 10 units and one side is 8 units long, what is the approximate length of the other side?
7
30 sec
111.41.C.9
Q.
Which statement is true for any right triangle?
8
30 sec
111.41.C.9
Q.
In a right triangle, if the cosine of an angle is 4/5, what is the opposite side length when the hypotenuse is 10 units?
9
30 sec
111.41.C.9
Q.
In a right triangle, one angle measures 45 degrees and the side opposite this angle measures 5 units. What is the length of the hypotenuse?
10
30 sec
111.41.C.9
Q.
In a right triangle with a hypotenuse of 10 units and an angle of 30 degrees opposite to the side to be found, what is the length of the opposite side?
11
30 sec
111.41.C.9.A
Q.
A right triangle has one angle of 45 degrees and the side adjacent to this angle is 7 units. What is the length of the hypotenuse?
12
30 sec
111.41.C.9.A
Q.
In a right-angled triangle, if the length of the side opposite to a 30-degree angle is 5cm, what is the length of the adjacent side (to the nearest hundredth)?
13
30 sec
111.41.C.9.A
Q.
In a right triangle, the length of the side adjacent to a 60-degree angle is 4 units. What is the length of the opposite side?
14
30 sec
111.41.C.9.A
Q.
In a right triangle, if the angle is 45 degrees and the hypotenuse is 10 units long, what is the length of the side opposite to the angle (to the nearest hundredth)?
15
30 sec
111.41.C.9.A
Q.
A right-angled triangle has a hypotenuse of 15 units and an angle of 60 degrees. What is the length of the side adjacent to the angle?
16
30 sec
111.41.C.9.A
Q.
If in a right triangle, the adjacent side to a 30-degree angle measures 8 units, what is the length of the hypotenuse?
17
30 sec
111.41.C.9.A
Q.
In a right triangle, if the angle opposite the side of length 6cm is 60 degrees, what is the length of the adjacent side (to the nearest hundredth)?
18
30 sec
111.41.C.9.A
Q.
In a right triangle, the length of the side opposite to a 45-degree angle is 5 units. What is the length of the hypotenuse?
19
30 sec
111.41.C.9.A
Q.
In a right-angled triangle, the length of the side adjacent to a 45-degree angle is 7 units. What is the length of the opposite side?
20
30 sec
111.41.C.9.A
Q.
If one of the angles in a right triangle is 45°, what is the measure of the other acute angle?
21
30 sec
111.41.C.9.B
Q.
In a 30°-60°-90° triangle, if the shortest side length is 5, what is the length of the hypotenuse?
22
30 sec
111.41.C.9.B
Q.
In a 45°-45°-90° triangle, if the length of one leg is 7 cm, what is the length of the hypotenuse?
23
30 sec
111.41.C.9.B
Q.
In a right triangle, if the lengths of the legs are 9 and 12 respectively, what is the length of the hypotenuse (in simplest radical form)?
24
30 sec
111.41.C.9.B
Q.
If the length of the longer leg in a 30-60-90 triangle is 8√3 units, what is the length of the hypotenuse?
25
30 sec
111.41.C.9.B
Q.
If the length of the hypotenuse in a 45°-45°-90° triangle is √50 units, what is the length of one leg?
26
30 sec
111.41.C.9.B
Q.
In a 30°-60°-90° triangle, if the shortest side length is 8, what is the length of the longest side?
27
30 sec
111.41.C.9.B
Q.
In a 45°-45°-90° triangle, if the length of one leg is 10 cm, what is the length of the other leg?
28
30 sec
111.41.C.9.B
Q.
In a right triangle, the lengths of the two legs are 5 and 12. What is the length of the hypotenuse?
29
30 sec
111.41.C.9.B
Q.
In a 30°-60°-90° triangle, if the length of the longer leg is 12 units, what is the length of the hypotenuse?
30
30 sec
111.41.C.9.B
Q.
In a right triangle with a hypotenuse length of 10, and one angle measuring 30 degrees, what is the length of the side opposite to the 30 degree angle?
31
30 sec
111.41.C.9.A
Q.
A right triangle has an angle of 45 degrees and the length of the side opposite this angle is 7. What is the length of the hypotenuse?
32
30 sec
111.41.C.9.A
Q.
A right triangle has one side measuring 8, a hypotenuse measuring 10, and one angle measuring 90 degrees. What is the measure of the smallest angle of the triangle in degrees?
33
30 sec
111.41.C.9.A
Q.
In a right triangle, one angle measures 60 degrees and the side opposite this angle is 5. What is the length of the hypotenuse?
34
30 sec
111.41.C.9.A
Q.
A right triangle has an angle of 30 degrees and the length of the side adjacent to this angle is 6. What is the length of the hypotenuse?
35
30 sec
111.41.C.9.A
Q.
If a right triangle has an angle of 60 degrees, and the side adjacent to this angle is 4, what is the length of the side opposite to this angle?
36
30 sec
111.41.C.9.A
Q.
A right triangle has a hypotenuse of 10 units and one side measuring 6 units. What is the measure of the angle opposite the side measuring 6 units?
37
30 sec
111.41.C.9.A
Q.
In a right triangle, if the length of one leg is 7 and the length of the hypotenuse is 25, what is the length of the other leg?
38
30 sec
111.41.C.9.A
Q.
A right triangle has an angle of 45 degrees. If the side opposite this angle is 8 units, what is the length of the hypotenuse?
39
30 sec
111.41.C.9.A
Q.
In a right triangle, if one angle measures 60 degrees and the side adjacent to this angle measures 3 units, what is the length of the hypotenuse?
