MAT 144 Quiz 1
Questions: 16 · 10 minutes
1. The hypotenuse of a right triangle is 13 inches, and one leg is 5 inches. What is the other leg?
The square root of 194 inches
8 inches
18 inches
12 inches
2. Which equation states the Pythagorean theorem when a and b are the legs of a right triangle and c is its hypotenuse?
The perimeter equation: 2a + 2b = c
The unsquared sum: a + b = c squared
The difference equation: a squared minus b squared = c squared
The sum-of-squares equation: a squared + b squared = c squared
3. Which expression is equivalent to the square root of 72 in simplest radical form?
8 times the square root of 2
4 times the square root of 3
6 times the square root of 2
36 times the square root of 2
4. A square has side length 5 units. What is the exact length of its diagonal?
10 units, found by doubling the side
5 times the square root of 2 units
The square root of 10 units
25 times the square root of 2 units
5. A 10-foot ladder rests against a wall. Its base is 6 feet from the wall, and the ground is level. How high up the wall does the ladder reach?
4 feet
The square root of 136 feet
8 feet
16 feet
6. On a coordinate plane, what is the distance between the points (2, 3) and (8, 11)?
8 units
14 units
The square root of 28 units
10 units
7. A right triangle has legs of 6 units and 8 units. What is the length of its hypotenuse?
7 units
14 units
10 units
100 units
8. A right triangle has legs measuring 9 cm and 12 cm. How long is the hypotenuse?
21 cm
15 cm
12.5 cm
The square root of 63 cm
9. In a triangle, c is the longest side. If a squared plus b squared is greater than c squared, what does this imply about the angle opposite c?
It is a right angle.
It is an acute angle.
It is an obtuse angle.
It must measure exactly 60 degrees.
10. How can you identify the hypotenuse in a right triangle?
It is the side touching the smallest acute angle.
It is always the vertical side.
It is the side opposite the right angle.
It is either of the two sides forming the right angle.
11. A rectangular garden is 8 meters wide and 15 meters long. What is the straight-line distance between opposite corners?
17 meters
The square root of 119 meters
23 meters
120 meters
12. Which set of side lengths can form a right triangle?
9, 12, and 16
6, 8, and 11
8, 10, and 14
7, 24, and 25
13. A right triangle has a hypotenuse of 17 centimeters and one leg of 8 centimeters. What is the length of the missing leg?
15 centimeters
The square root of 353 centimeters
9 centimeters
25 centimeters
14. A right triangle has one leg of length x, another leg of length 7, and a hypotenuse of length 25. Which equation correctly models the triangle?
The unknown squared plus 49 equals 625
The unknown squared equals 625 plus 49
The unknown plus 7 equals 625
The unknown squared plus 625 equals 49
15. A ramp rises 5 feet over a horizontal run of 12 feet. What is the length of the ramp?
13 feet
12 feet
17 feet
7 feet
16. What is the distance between the points (-1, 2) and (2, 6)?
4 units
5 units
7 units
The square root of 13 units