Quiz about Right Triangle Review

Question 1

Building A and building B are 500 meters apart. There is no road between them, so to drive from building A to building B, it is necessary to first drive to building C and then to building B.

About how much farther is it to drive than to walk directly from building A to building B? Round to the nearest whole number.

Accepted Answer

183 meters

Answer

250 meters

Answer

366 meters

Answer

683 meters

Question 2

Kari is flying a kite. She releases 50 feet of string. What is the approximate difference in the height of the kite when the string makes a 25 degree angle with the ground and when the string makes a 45 degree angle with the ground? Round to the nearest tenth.

Accepted Answer

14.2 feet

Answer

17.1 feet

Answer

47.6 feet

Answer

55.2 feet

Question 3

Given right triangle RST, what is the value of sin(S)?

Accepted Answer

5/13

Answer

5/12

Answer

12/13

Answer

13/12

Question 4

Which set of numbers can represent the side lengths, in millimeters, of an obtuse triangle?

Accepted Answer

8, 10, 14

Answer

9, 12, 15

Answer

10, 14, 17

Answer

12, 15, 19

Question 5

Jamel is asked to create triangles using three of four given sticks. The sticks measure 3 in., 6 in., 7 in., and 8 in. He creates these 4 triangles.

Triangle 1: 3 in., 6 in., 7 in.

Triangle 2: 3 in., 6 in., 8 in.

Triangle 3: 3 in., 7 in., 8 in.

Triangle 4: 6 in., 7 in., 8 in.

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 6

The lengths of two sides of a right triangle are 12 inches and 15 inches. What is the difference between the two possible lengths of the third side of the triangle? Round your answer to the nearest tenth.

Accepted Answer

10.2 inches

Answer

24.0 inches

Answer

28.2 inches

Answer

30.0 inches

Question 7

The longest side of an isosceles obtuse triangle measures 20 centimeters. The other two side lengths are congruent but unknown.

What is the greatest possible whole-number value of the congruent side lengths?

Accepted Answer

14 cm

Answer

9 cm

Answer

10 cm

Answer

15 cm

Question 8

A company that makes mirrors sends their slightly flawed products to a discount store. This week, the company sent four mirrors to the discount store. Each mirror is approximately rectangular, with both lengths the same and both widths the same.

Based on these dimensions, which mirror is the closest to rectangular?

Accepted Answer

4

Answer

1

Answer

2

Answer

3

Question 9

Nadine is making a quilt. She can use a rectangle of any length and width, as long as the angles in the shape are right angles. Which pieces of fabric can Nadine use in the quilt? Check all that apply.

Accepted Answer

1

Accepted Answer

2

Accepted Answer

6

Answer

4

Answer

5

Question 10

What is the length of the unknown leg in the right triangle?

Accepted Answer

20 cm

Answer

8 cm

Answer

16 cm

Answer

40 cm

Question 11

The diagram shows two different nature trails in a state park. The solid line shows the Dogwood Trail. The dashed line shows the Elm Trail.

Which of the following statements are true about the lengths of the trails? Check all that apply.

Accepted Answer

The total length of the Dogwood Trail is 24 kilometers.

Accepted Answer

The difference between the lengths of the trails is 6 kilometers.

Answer

The total length of the Dogwood Trail is 16 kilometers.

Answer

The Elm Trail is longer than the Dogwood Trail.

Answer

The difference between the lengths of the trails is 2 kilometers.

Question 12

Isaiah is jogging near his college. He runs south along Capitol Street for about 0.75 miles and east along H Street for about 1.2 miles. He then turns left and runs along Florida Avenue until he reaches his starting point. How long is his total run to the nearest hundredth of a mile?

Accepted Answer

3.37 miles

Answer

2.89 miles

Answer

3.67 miles

Answer

3.92 miles

Question 13

Jesse and Mark are jogging along the route shown at a rate of 12 miles per hour. They start by jogging south along Capitol Street for 1 mile, then turn east on H Street and jog for 1.75 miles. At that point, Jesse is tired and decides to walk home along Florida Avenue at a rate of 5 miles per hour. Mark plans to jog back the way they came. Jesse wants to find out who will arrive home first and by how much time. Which statements should he consider when solving the problem? Check all that apply.

Accepted Answer

Mark will jog home a distance of 2.75 miles.

Accepted Answer

It will take Mark about 0.23 hours to jog home as found by 2.75 = 12(t).

Accepted Answer

Mark will get home about 0.17 hours (or 10 minutes) sooner.

Answer

Mark will jog home a distance of 2.25 miles.

Answer

Mark will get home about 0.21 hours (or 12.5 minutes) sooner.

Question 14

Which is a perfect square?

Accepted Answer

121

Answer

140

Answer

168

Answer

195

Question 15

Holly and Tamar completed the work in the table to determine if a triangle with side lengths of 40, 42, and 58 is a right triangle.

Which best describes the accuracy of their solutions?

Accepted Answer

Tamar is correct.

Answer

Holly is correct.

Answer

Neither Holly nor Tamar is correct.

Answer

Both Holly and Tamar are correct.

Question 16

Which statement describes whether a right triangle can be formed using one side length from each of these squares?

Accepted Answer

Yes, a right triangle can be formed because the sum of the areas of the two smaller squares equals the area of the largest square.

Answer

Yes, a right triangle can be formed because the sum of the areas of the two smaller squares does not equal the area of the largest square.

Answer

No, a right triangle cannot be formed because the sum of the areas of the two smaller squares does not equal the area of the largest square.

Answer

No, a right triangle cannot be formed because the sum of the areas of the two smaller squares equals the area of the largest square.

Question 17

Which set of numbers can represent the side lengths, in centimeters, of a right triangle?

Accepted Answer

10, 24, 26

Answer

8, 12, 15

Answer

12, 20, 25

Answer

15, 18, 20

Question 18

Which set of numbers can represent the side lengths, in inches, of an acute triangle?

Accepted Answer

5, 7, 8

Answer

4, 5, 7

Answer

6, 7, 10

Answer

7, 9, 12

Question 19

Two sides of an acute triangle measure 5 inches and 8 inches. The length of the longest side is unknown.

What is the greatest possible whole-number length of the unknown side?

Accepted Answer

9 inches

Answer

8 inches

Answer

12 inches

Answer

13 inches

Right Triangle Review

41 questions

Which equation can be used to find the measure of angle LKJ?

Which is the best approximation for the measure of angle ABC?

To support a tree damaged in a storm, a 12-foot wire is secured from the ground to the tree at a point 10 feet off the ground. The tree meets the ground at a right angle.

At approximately what angle does the wire meet the ground?

A theater production group is making frames to support wall-like props. Three-foot beams form right triangles with 10-foot beams to allow them to stand, as shown in the image.

What is x, the angle at which the diagonal beam meets the 10-foot beam at the top of the frame?

The equation $\cos\left(35\degree\right)=\frac{a}{25}$ can be used to find the length of $\overline{BC}$ .

What is the length of segment BC? Round to the nearest tenth.

The equation $\tan\left(55\degree\right)=\frac{15}{b}$ can be used to find the length of $\overline{AC}$ .

What is the length of $\overline{AC}$ ? Round to the nearest tenth.

Kari is flying a kite. She releases 50 feet of string. What is the approximate difference in the height of the kite when the string makes a 25 degree angle with the ground and when the string makes a 45 degree angle with the ground? Round to the nearest tenth.

Given right triangle RST, what is the value of sin(S)?

Given right triangle QRS, what is the value of sin(30°)?

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Right Triangle Review

41 questions

Which equation can be used to find the measure of angle LKJ?

Which is the best approximation for the measure of angle ABC?

To support a tree damaged in a storm, a 12-foot wire is secured from the ground to the tree at a point 10 feet off the ground. The tree meets the ground at a right angle.At approximately what angle does the wire meet the ground?

A theater production group is making frames to support wall-like props. Three-foot beams form right triangles with 10-foot beams to allow them to stand, as shown in the image.What is x, the angle at which the diagonal beam meets the 10-foot beam at the top of the frame?

The equation cos⁡(35°)=a25\cos\left(35\degree\right)=\frac{a}{25}cos(35°)=25a​ can be used to find the length of BC‾\overline{BC}BC .What is the length of segment BC? Round to the nearest tenth.

The equation tan⁡(55°)=15b\tan\left(55\degree\right)=\frac{15}{b}tan(55°)=b15​ can be used to find the length of AC‾\overline{AC}AC .What is the length of AC‾\overline{AC}AC ? Round to the nearest tenth.

Kari is flying a kite. She releases 50 feet of string. What is the approximate difference in the height of the kite when the string makes a 25 degree angle with the ground and when the string makes a 45 degree angle with the ground? Round to the nearest tenth.

Given right triangle RST, what is the value of sin(S)?

Given right triangle QRS, what is the value of sin(30°)?

Create a free account and access millions of resources

Similar Resources on Wayground

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Discover more resources for Mathematics

To support a tree damaged in a storm, a 12-foot wire is secured from the ground to the tree at a point 10 feet off the ground. The tree meets the ground at a right angle.

At approximately what angle does the wire meet the ground?

A theater production group is making frames to support wall-like props. Three-foot beams form right triangles with 10-foot beams to allow them to stand, as shown in the image.

What is x, the angle at which the diagonal beam meets the 10-foot beam at the top of the frame?

The equation $\cos\left(35\degree\right)=\frac{a}{25}$ can be used to find the length of $\overline{BC}$ .

What is the length of segment BC? Round to the nearest tenth.

The equation $\tan\left(55\degree\right)=\frac{15}{b}$ can be used to find the length of $\overline{AC}$ .

What is the length of $\overline{AC}$ ? Round to the nearest tenth.