Triangles Advanced Quiz

Question 1 of 14

1. Question

You’re walking in downtown Salt Lake City. To get from your hotel to a restaurant, you walk 4 blocks east and then 3 blocks south. If a city block is 660 by 660 feet, and there is no change in altitude along your walk, what is the linear distance, in feet, from your hotel to the restaurant?

5
660
1980
2640
3300

Question 2 of 14

2. Question

Which of the following sets of numbers could not be the side lengths of a triangle?

3, 3, 4
\(\frac{5}{6}, 2, \frac{13}{6}\)
1, \(\sqrt{3}\), 2
1, 3, 5
32, 255, 257

Question 3 of 14

3. Question

You are at a water park and are going to slide down a water chute with dimensions, in feet, drawn below. To the nearest foot, how many feet will you have slid when you’re halfway down the chute?

82
94
125
175
250

Question 4 of 14

4. Question

In \(\triangle ABC\), the lengths of \( \overline{AB}\) and \(\overline{BC}\) are \(2.5\) and \(\sqrt{27.75}\), respectively. If it can be determined, what is the length of \(\overline{CA}\)?

4.6
5.8
27.6
27.8
Cannot be determined.

Question 5 of 14

5. Question

In \(\triangle WXZ\) below, \(\overline{XZ}\) is twice the length of \(\overline{YZ}\). What is the length of \(\overline{WX}\)?

\(6\sqrt{5}\)
\(6\sqrt{13}\)
15
18
Cannot be determined.

Question 6 of 14

6. Question

Given the side lengths of \(\triangle QRS\) and the measure of angle Q shown below, find the area of \(\triangle QRS\).

\(20\sqrt{2}\)
\(30\sqrt{2}\)
40
\(40\sqrt{2}\)
Cannot be determined.

Question 7 of 14

7. Question

In \(\triangle XYZ\) below, \(\overline{XY} \cong \, \overline{XZ}\) and \(\angle X = 52^{\circ}\). What is the measure of \(\angle Y\) in degrees?

19
26
38
52
74

Question 8 of 14

8. Question

\(\triangle RQS\) has \(\angle R = 33^{\circ}\), \(\overline{RQ} = 9\) inches, and \(\overline{RS} = 14\) inches. Given these measurements, what is the area of triangle to the nearest tenth of a square inch?

34.3
48.326
60
63
68.8

Question 9 of 14

9. Question

Given the side measurements of \(\triangle XYZ\) and \(\triangle WXZ\) below, what is the length of \(\overline{WZ}\)?

1.4
1.5
1.6
1.7
1.8

Question 10 of 14

10. Question

In \(\triangle ABC\), shown below, \(\overline{AC} = 126 m\) and \(\angle C = 30^{\circ}\). What is the length of \(\overline{BC}\) in meters?

\(63\)
\(63\sqrt{2}\)
\(63\sqrt{3}\)
\(126\sqrt{3}\)
Cannot be determined.

Question 11 of 14

11. Question

In the diagram below, \(\triangle ABC \sim \triangle CDE \sim \triangle EFG\). What is the length of \(\overline{EF}\)?

12
12.5
13
13.5
27

Question 12 of 14

12. Question

What is the difference between the area of the shaded region and the unshaded region below?

1
\(\frac{3}{2}\)
\(\frac{5}{2}\)
2
4

Question 13 of 14

13. Question

The lengths of the three sides of a triangle are 2, 3, and 4. This triangle is best described as which of the following?

Isosceles Right
Isosceles Acute
Isosceles Obtuse
Scalene Right
Scalene Obtuse

Question 14 of 14

14. Question

Given pentagon ABCDE below, what is the area of Triangle ABE, rounded to the nearest tenth of a square unit?

26
26.9
27
27.9
Cannot be determined.