AnswersFL-1200700-Mathematics for College Algebra MISEstimating and Comparing Square Roots

Finding the Hypotenuse in Right Triangles Answers

10 verified answers3 views
1
Free Preview

Mrs. Ibarra wants to create a right triangle for a geometry test. She plans to use 15, 36, and 41 as side lengths.Select the four true statements regarding the side lengths Mrs. Ibarra chose.

A
, so the side lengths will form a triangle.
Option A
B
, so those lengths will not form a triangle.
Option B
C
15 squared + 36 squared = 1,521
Option C
D
41 squared = 1,681
Option D
E
Since , it will not be a right triangle.
Option E
F
15 squared + 36 squared = 297
Option F
G
41 squared = 82
Option G
2
Free Preview

What is the length of the hypotenuse of the triangle?

Question illustration
A
26 ft
B
34 ft
C
68 ft
D
74 ft
3

Which equation could be used to find the length of the hypotenuse?

Question illustration
A
2 squared + 5 squared = c squared
Option A
B
2 squared + c squared = 5 squared
Option B
C
c squared minus 2 squared = 5 squared
Option C
D
5 squared minus 2 squared = c squared
Option D
4

Alyssa is jogging near Central Park. She runs along 65th Street for about 0.19 miles, turns right and runs along Central Park West for about 0.28 miles. She then turns right again and runs along Broadway until she reaches her starting point. How long is her total run to the nearest hundredth of a mile?

Question illustration
A
0.68 miles
B
0.81 miles
C
1.15 miles
D
1.44 miles
5

Hans wanted to find the length of the hypotenuse of the triangle. Which statement correctly identifies his error?

Question illustration
A
He did not square 40, he just multiplied by 2.
B
He did not finish the problem. He should have divided 161 by 2 to find the square root.
C
He should have added 9 + 9 to find the value of .
Option C
D
He should have subtracted the two squares to get because numbers get too large if both legs are squared and then added together.
Option D
6

Reynaldo rode his bike 2 miles north and 3 miles east. Which equation should he use to find the distance, d, that takes him directly back home?

Question illustration
A
2 squared + 3 squared = d squared
Option A
B
3 squared minus 2 squared = d squared
Option B
C
d squared + 2 squared = 3 squared
Option C
D
d squared + 3 squared = 2 squared
Option D
7

Joseph and Isabelle left Omyra’s house at the same time. Joseph jogged north at 8 kilometers per hour, while Isabelle rode her bike west at 12 kilometers per hour. Omyra tried to figure out how far apart they were after 1.5 hours. Her work is shown below. Which statements describe her errors? Check all that apply.

Question illustration
A
She did not find the full distance each traveled in 1.5 hours. She should have used 12 km for Joseph’s distance and 18 km for Isabelle’s distance.
B
She did not square the 12 in the problem. She should have used .
Option B
C
She did not evaluate correctly. She should have used .
Option C
D
She did not evaluate correctly. She should have used .
Option D
E
She should not have taken the square root of each side when solving. She should have just divided each side by 2.
F
She should not have added the squares in the first step. She should have used .
Option F
8

Sanjay, Colby, and Arpitha are training to run a marathon. On Saturday, Sanjay ran miles, Colby ran 13 miles, and Arpitha ran the shortest route from the library to her house, as shown in the diagram. Which list shows the names in order from the person who ran the shortest distance to the one who ran the greatest distance?

Question illustration
A
Colby, Sanjay, Arpitha
B
Sanjay, Arpitha, Colby
C
Sanjay, Colby, Arpitha
D
Arpitha, Sanjay, Colby
9

Keith left his house, rode his bike 3 miles along one road, took a 90 degree turn, and rode 3 miles to the local swimming pool. If he had ridden directly to the pool, how much distance would he have saved? Round the answer to the nearest tenth of a mile.

Question illustration
A
1.2 miles
B
1.8 miles
C
2.5 miles
D
4.2 miles
10

Which is the length of the hypotenuse of the triangle?

Question illustration
A
ft
Option A
B
ft
Option B
C
33 ft
D
37 ft

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Estimating and Comparing Square Roots

Quiz
10 verified answers

Unknown Leg Lengths in Right Triangles

Quiz
2 verified answers

Estimating and Comparing Square Roots

Finding the Hypotenuse in Right Triangles…