ACT Exam > ACT Questions > The ratio of the side lengths for a triangle ...
Start Learning for Free
The ratio of the side lengths for a triangle is exactly 15 : 14 : 12. In a second triangle similar to the first, the longest side is 10 inches long. To the nearest tenth of an inch, what is the length of the shortest side of the second triangle?
- a)6.4
- b)8.0
- c)9.3
- d)12.0
- e)Cannot be determined from the given information
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The ratio of the side lengths for a triangle is exactly 15 : 14 : 12. ...
You are given certain ratios in this problem, so you can set up a proportion to find the length of the shortest side of the second triangle. The ratio of the longest sides of both triangles is 15/10. Set the length of the shortest side of the second triangle to x so that the ratio of the shortest sides of both triangles is 12/x Now, set up a proportion, cross-multiply, and solve for x:
15/10 = 12/x
15x = 120
x = 8
15/10 = 12/x
15x = 120
x = 8
Most Upvoted Answer
The ratio of the side lengths for a triangle is exactly 15 : 14 : 12. ...
Understanding the Problem:
The problem provides us with the ratio of side lengths for a triangle (15:14:12) and tells us that the longest side of a similar triangle is 10 inches long. We need to find the length of the shortest side of the second triangle.
Solution:
- We know that the ratio of side lengths of the two similar triangles is the same.
- Let the shortest side of the second triangle be x.
- Using the ratio 15:14:12, we can set up the proportion: 15/14 = 10/x.
- Cross multiplying, we get 15x = 140.
- Solving for x, we find x = 140/15 = 9.3 inches.
Therefore, to the nearest tenth of an inch, the length of the shortest side of the second triangle is 9.3 inches, which corresponds to option B.
The problem provides us with the ratio of side lengths for a triangle (15:14:12) and tells us that the longest side of a similar triangle is 10 inches long. We need to find the length of the shortest side of the second triangle.
Solution:
- We know that the ratio of side lengths of the two similar triangles is the same.
- Let the shortest side of the second triangle be x.
- Using the ratio 15:14:12, we can set up the proportion: 15/14 = 10/x.
- Cross multiplying, we get 15x = 140.
- Solving for x, we find x = 140/15 = 9.3 inches.
Therefore, to the nearest tenth of an inch, the length of the shortest side of the second triangle is 9.3 inches, which corresponds to option B.
Community Answer
The ratio of the side lengths for a triangle is exactly 15 : 14 : 12. ...
You are given certain ratios in this problem, so you can set up a proportion to find the length of the shortest side of the second triangle. The ratio of the longest sides of both triangles is 15/10. Set the length of the shortest side of the second triangle to x so that the ratio of the shortest sides of both triangles is 12/x Now, set up a proportion, cross-multiply, and solve for x:
15/10 = 12/x
15x = 120
x = 8
15/10 = 12/x
15x = 120
x = 8
|
Explore Courses for ACT exam
|
|
Similar ACT Doubts
Top Courses for ACTView all
The ratio of the side lengths for a triangle is exactly 15 : 14 : 12. In a second triangle similar to the first, the longest side is 10 inches long. To the nearest tenth of an inch, what is the length of the shortest side of the second triangle?a)6.4b)8.0c)9.3d)12.0e)Cannot be determined from the given informationCorrect answer is option 'B'. Can you explain this answer?
Question Description
The ratio of the side lengths for a triangle is exactly 15 : 14 : 12. In a second triangle similar to the first, the longest side is 10 inches long. To the nearest tenth of an inch, what is the length of the shortest side of the second triangle?a)6.4b)8.0c)9.3d)12.0e)Cannot be determined from the given informationCorrect answer is option 'B'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about The ratio of the side lengths for a triangle is exactly 15 : 14 : 12. In a second triangle similar to the first, the longest side is 10 inches long. To the nearest tenth of an inch, what is the length of the shortest side of the second triangle?a)6.4b)8.0c)9.3d)12.0e)Cannot be determined from the given informationCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the side lengths for a triangle is exactly 15 : 14 : 12. In a second triangle similar to the first, the longest side is 10 inches long. To the nearest tenth of an inch, what is the length of the shortest side of the second triangle?a)6.4b)8.0c)9.3d)12.0e)Cannot be determined from the given informationCorrect answer is option 'B'. Can you explain this answer?.
The ratio of the side lengths for a triangle is exactly 15 : 14 : 12. In a second triangle similar to the first, the longest side is 10 inches long. To the nearest tenth of an inch, what is the length of the shortest side of the second triangle?a)6.4b)8.0c)9.3d)12.0e)Cannot be determined from the given informationCorrect answer is option 'B'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about The ratio of the side lengths for a triangle is exactly 15 : 14 : 12. In a second triangle similar to the first, the longest side is 10 inches long. To the nearest tenth of an inch, what is the length of the shortest side of the second triangle?a)6.4b)8.0c)9.3d)12.0e)Cannot be determined from the given informationCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the side lengths for a triangle is exactly 15 : 14 : 12. In a second triangle similar to the first, the longest side is 10 inches long. To the nearest tenth of an inch, what is the length of the shortest side of the second triangle?a)6.4b)8.0c)9.3d)12.0e)Cannot be determined from the given informationCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The ratio of the side lengths for a triangle is exactly 15 : 14 : 12. In a second triangle similar to the first, the longest side is 10 inches long. To the nearest tenth of an inch, what is the length of the shortest side of the second triangle?a)6.4b)8.0c)9.3d)12.0e)Cannot be determined from the given informationCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for ACT.
Download more important topics, notes, lectures and mock test series for ACT Exam by signing up for free.
Here you can find the meaning of The ratio of the side lengths for a triangle is exactly 15 : 14 : 12. In a second triangle similar to the first, the longest side is 10 inches long. To the nearest tenth of an inch, what is the length of the shortest side of the second triangle?a)6.4b)8.0c)9.3d)12.0e)Cannot be determined from the given informationCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The ratio of the side lengths for a triangle is exactly 15 : 14 : 12. In a second triangle similar to the first, the longest side is 10 inches long. To the nearest tenth of an inch, what is the length of the shortest side of the second triangle?a)6.4b)8.0c)9.3d)12.0e)Cannot be determined from the given informationCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for The ratio of the side lengths for a triangle is exactly 15 : 14 : 12. In a second triangle similar to the first, the longest side is 10 inches long. To the nearest tenth of an inch, what is the length of the shortest side of the second triangle?a)6.4b)8.0c)9.3d)12.0e)Cannot be determined from the given informationCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of The ratio of the side lengths for a triangle is exactly 15 : 14 : 12. In a second triangle similar to the first, the longest side is 10 inches long. To the nearest tenth of an inch, what is the length of the shortest side of the second triangle?a)6.4b)8.0c)9.3d)12.0e)Cannot be determined from the given informationCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The ratio of the side lengths for a triangle is exactly 15 : 14 : 12. In a second triangle similar to the first, the longest side is 10 inches long. To the nearest tenth of an inch, what is the length of the shortest side of the second triangle?a)6.4b)8.0c)9.3d)12.0e)Cannot be determined from the given informationCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice ACT tests.
|
|
Explore Courses for ACT exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup