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The ratio of the side lengths for a triangle is exactly 7:11:13. In a second triangle similar to the first, the shortest side is 9 inches long. To the nearest tenth of an inch, what is the length of the longest side of the second triangle?
- a)14.1
- b)15
- c)16.7
- d)17.3
- e)Cannot be determined from the given information.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The ratio of the side lengths for a triangle is exactly 7:11:13. In a ...
The correct answer is C. To find the length of the longest side of the second triangle, use ratios of corresponding sides of each triangle. For example, 9/7 = x/13, where x is the longest side of the second triangle. Cross-multiply to arrive at 117 = 7x.
Divide by 7 to get x = about 16.7.
If you selected answer choice B, the most common incorrect answer, you might have noticed that the difference in lengths of the smallest sides was 2 and then simply added 2 to the longest side of the first triangle to get 15 for the longest side of the second triangle.
Divide by 7 to get x = about 16.7.
If you selected answer choice B, the most common incorrect answer, you might have noticed that the difference in lengths of the smallest sides was 2 and then simply added 2 to the longest side of the first triangle to get 15 for the longest side of the second triangle.
Most Upvoted Answer
The ratio of the side lengths for a triangle is exactly 7:11:13. In a ...
Given Information:
The ratio of the side lengths of the first triangle is 7:11:13.
The shortest side of the second triangle is 9 inches long.
Approach:
To find the lengths of the sides of the second triangle, we need to scale the sides of the first triangle by a factor that relates the shortest side of the second triangle (9 inches) to the shortest side of the first triangle.
Calculations:
- Since the ratio of the side lengths of the first triangle is 7:11:13, the shortest side of the first triangle can be represented as 7x for some value of x.
- We are given that the shortest side of the second triangle is 9 inches, so we have:
7x = 9
x = 9/7
x ≈ 1.286
- Now, we can find the lengths of the sides of the second triangle by scaling the sides of the first triangle by the factor x:
Shortest side: 7x ≈ 7(1.286) ≈ 9 inches (as given)
Longest side: 13x ≈ 13(1.286) ≈ 16.7 inches
Answer:
Therefore, to the nearest tenth of an inch, the length of the longest side of the second triangle is approximately 16.7 inches, which corresponds to option (c).
Community Answer
The ratio of the side lengths for a triangle is exactly 7:11:13. In a ...
The correct answer is C. To find the length of the longest side of the second triangle, use ratios of corresponding sides of each triangle. For example, 9/7 = x/13, where x is the longest side of the second triangle. Cross-multiply to arrive at 117 = 7x.
Divide by 7 to get x = about 16.7.
If you selected answer choice B, the most common incorrect answer, you might have noticed that the difference in lengths of the smallest sides was 2 and then simply added 2 to the longest side of the first triangle to get 15 for the longest side of the second triangle.
Divide by 7 to get x = about 16.7.
If you selected answer choice B, the most common incorrect answer, you might have noticed that the difference in lengths of the smallest sides was 2 and then simply added 2 to the longest side of the first triangle to get 15 for the longest side of the second triangle.
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The ratio of the side lengths for a triangle is exactly 7:11:13. In a second triangle similar to the first, the shortest side is 9 inches long. To the nearest tenth of an inch, what is the length of the longest side of the second triangle?a)14.1b)15c)16.7d)17.3e)Cannot be determined from the given information.Correct answer is option 'C'. Can you explain this answer?
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The ratio of the side lengths for a triangle is exactly 7:11:13. In a second triangle similar to the first, the shortest side is 9 inches long. To the nearest tenth of an inch, what is the length of the longest side of the second triangle?a)14.1b)15c)16.7d)17.3e)Cannot be determined from the given information.Correct answer is option 'C'. 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 7:11:13. In a second triangle similar to the first, the shortest side is 9 inches long. To the nearest tenth of an inch, what is the length of the longest side of the second triangle?a)14.1b)15c)16.7d)17.3e)Cannot be determined from the given information.Correct answer is option 'C'. 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 7:11:13. In a second triangle similar to the first, the shortest side is 9 inches long. To the nearest tenth of an inch, what is the length of the longest side of the second triangle?a)14.1b)15c)16.7d)17.3e)Cannot be determined from the given information.Correct answer is option 'C'. Can you explain this answer?.
The ratio of the side lengths for a triangle is exactly 7:11:13. In a second triangle similar to the first, the shortest side is 9 inches long. To the nearest tenth of an inch, what is the length of the longest side of the second triangle?a)14.1b)15c)16.7d)17.3e)Cannot be determined from the given information.Correct answer is option 'C'. 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 7:11:13. In a second triangle similar to the first, the shortest side is 9 inches long. To the nearest tenth of an inch, what is the length of the longest side of the second triangle?a)14.1b)15c)16.7d)17.3e)Cannot be determined from the given information.Correct answer is option 'C'. 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 7:11:13. In a second triangle similar to the first, the shortest side is 9 inches long. To the nearest tenth of an inch, what is the length of the longest side of the second triangle?a)14.1b)15c)16.7d)17.3e)Cannot be determined from the given information.Correct answer is option 'C'. Can you explain this answer?.
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