### Educational Exercise: Calculating the Length of a Triangle's Side**Problem Statement:**The lengths of two sides of a right triangle are 5 inches and 8 inches. What is the difference between the two possible lengths of the third side of the triangle? Round your answer to the nearest tenth.**Options:**- 2.4 inches- 3.2 inches- 10.0 inches- 15.7 inches---**Graph or Diagram Explanation:** - This exercise does not include any graphs or diagrams.**Answer Submission:**- Users are given the option to "Mark this and return", "Save and Exit", "Next", or "Submit" to proceed with their answer.**Instructions for Users:**1. Carefully read the problem statement and answer choices.2. Use the Pythagorean Theorem $a^2 + b^2 = c^2$ or other geometric principles to determine the correct answer.3. Select the correct answer from the provided multiple-choice options.4. Use the "Submit" button to finalize your answer or "Save and Exit" to save your progress.**Additional Information:**- Ensure to round your final answer to the nearest tenth if necessary.

for the right angle triangle, use the Pythagorean theorem first, take a=5 and c=8

The lengths of two sides of a right triangle are 5 inches and 8 inches. What is the difference between the two possible lengths of the third side of the triangle? Round your answer to the nearest tenth. O 2.4 inches O3.2 inches O 10.0 inches 15.7 inches

The lengths of two sides of a right triangle are 5 inches and 8 inches. What is the difference between the two possible lengths of the third side of the triangle? Round your answer to the nearest tenth. O 2.4 inches O3.2 inches O 10.0 inches 15.7 inches

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

See similar textbooks

Related questions

Q: 3 in. 12. Amber is making a scratching post for her cat. The scratching post is composed of two…

A: Here , we have to find the total carpet needed to cover the exposed faces of scratching post for her…

Q: A triangle has sides of 3.5 inches, 6 inches and 5.5 inches. What is its perimeter? O 18 inches? O…

A: The sides of the triangles are: a=3.5 inchesb=6 inchesc=5.5 inches

Q: 11. Triangle ABC is similar to triangle DEF. 24 inches 36 inches B. C 27 inches 27 inches 45 inches…

Q: An older automobile has a fan belt assembly that is the shape of an isosceles triangle. The two…

Q: A package of hamburger meat has 5 pounds in it. Vivian uuses 2.75 pounds to make hamburgers and 1.5…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: The volume of a triangular pyramid is 10 cubic inches. The base is a right triangle with a length of…

Q: What is the perimeter of the pen?

A: Follow the procedure given below.

Q: Dunlap Grand Avenue On the map shown above, the length of each small square equals one-half mile.…

A: The given figure is

Q: Find the length of the missing leg of a right triangle whose hypotenuse measures 19 cm and whose…

A: The sum of the squares of the two legs of a Right Triangle is equal to the square of the…

Q: A triangle has sides that measure 12 inches, 14 inches and 13 inches. What is its perimeter? 39…

Q: 7 Ms. Solis has a round night table that she wants to paint. She wants the quarter circle shown to…

A: The radius of the circle is 8 in.

Question

### Educational Exercise: Calculating the Length of a Triangle's Side

**Problem Statement:**

The lengths of two sides of a right triangle are 5 inches and 8 inches. What is the difference between the two possible lengths of the third side of the triangle? Round your answer to the nearest tenth.

**Options:**
- 2.4 inches
- 3.2 inches
- 10.0 inches
- 15.7 inches

---

**Graph or Diagram Explanation:**
- This exercise does not include any graphs or diagrams.

**Answer Submission:**
- Users are given the option to "Mark this and return", "Save and Exit", "Next", or "Submit" to proceed with their answer.

**Instructions for Users:**
1. Carefully read the problem statement and answer choices.
2. Use the Pythagorean Theorem $a^2 + b^2 = c^2$ or other geometric principles to determine the correct answer.
3. Select the correct answer from the provided multiple-choice options.
4. Use the "Submit" button to finalize your answer or "Save and Exit" to save your progress.

**Additional Information:**
- Ensure to round your final answer to the nearest tenth if necessary.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 18 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Area of a Circle$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.

Similar questions

e Miami-Dade County Public Scho X 6 Home - Student Portal https://my.hrw.com/dashboard/ A my.hrw.com/wwtb/api/viewer.pl Question Paul designed a doghouse to fit against the side of his house. His plan consisted of a right triangle on top of a rectangle. Drag and drop the numbers into the boxes to show the length of each segment. 13 in. 5 in. C 24 in. IB Find BD, CE, and BE. BD = CE = BE 12 37 26.83 29 Question 10 of 14 Next Question 2 Type here to search hp 立

A construction crew is placing a square in a wall for a new window. The window is 3.125 feet wide. The wall has a length of 11.375 feet. The crew wants to position the window at the CENTER of the wall. How far from each edge of the wall should the window be positioned? Record your answer as a DECIMAL, do not round. 1
17 Type the correct answer in each box. Use = 3.14 and, if necessary, round your answers to the nearest hundredth. the area of the largest cross section of a sphere and the circumference of the sphere are in the ratio 4: 1. The radius of the sphere is 2 cm. The circumference of the sphere is about 12.57 cm. The area of the largest cross section is abo cm. The volume of the sphere is about 33.52 cm. Reset Next enum Ceserved MacBook Air
Find the missing side of the right triangle given that a = 13 cm, and c = 21 cm. Round to the nearest hundredth when appropriate.
Determine the width of the river. x ft. A. 15 feet B. 45 feet C. 80 feet D. 180 feet 90 ft. 135 ft. 120 ft 7 a 5.5 foot shadow. If Ellie is 4 feet 10 inches tall, how tall is the tree? Round to the nearest foot. A tree outside Ellie's building casts a 125 foot shadow. At the same time of day, Ellie casts A. 91 feet B 93 feet C10 feet D. 142 feet 29 125 250 es 4 ft. 10 in 5.5 ft. 125 t- Consider the following figure and proof. (Fill in each blank) Given: RE = 2AR and RT = 2GR R Prove: ΔGAR ~ΔTER A Statement Reason 1. RE = ZAR and RT-2GR 1. Given 2. ZGRA S LTRE 2. Vertical Angles 3. RE RT AR GR 4. ΔGAR-ΔTER 3. Proportionality of Sides 4. SAS MathNation.com RI-FIT