applying the converse of the pythagorean theorem janice examines the gi…
It is under by approximately 0.6 units.
Question
applying the converse of the pythagorean theorem
janice examines the given triangle and estimates that the longest side has a length of 25 units—if it is a right triangle. how does her estimate compare to the actual length?
○ it is exactly correct.
○ it is under by approximately 0.6 units.
○ it is over by approximately 0.6 units.
○ it is over by 13 units.
Solution Steps
-
Understand the question
applying the converse of the pythagorean theorem
janice examines the given triangle and estimates that the longest side has a length of 25 units—if it is a right triangle. how does her estimate compare to the actual length?
○ it is exactly correct.
○ it is under by approximately 0.6 units.
○ it is over by approximately 0.6 units.
○ it is over by 13 units. -
Explanation
Step1: Calculate hypotenuse of right triangle
$$c = \sqrt{16^2 + 20^2}$$
$$c = \sqrt{256 + 400} = \sqrt{656} \approx 25.612$$Step2: Compare estimate to actual value
$$25.612 - 25 = 0.612 \approx 0.6$$
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Final answer
It is under by approximately 0.6 units.
Answer
Explanation
Step1: Calculate hypotenuse of right triangle
$$c = \sqrt{16^2 + 20^2}$$
$$c = \sqrt{256 + 400} = \sqrt{656} \approx 25.612$$
Step2: Compare estimate to actual value
$$25.612 - 25 = 0.612 \approx 0.6$$
Answer
It is under by approximately 0.6 units.
Question Image
Click to enlargeQuestion Analysis
Subject
mathematics
Sub Subject
geometry
Education Level
high school
Difficulty
unspecified
Question Type
with image, multiple choice, calculation
Multi Question
No
Question Count
1
Analysis Status
completed
Analyzed At
2026-02-09T20:26:39
OCR Text
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applying the converse of the pythagorean theorem janice examines the given triangle and estimates that the longest side has a length of 25 units—if it is a right triangle. how does her estimate compare to the actual length? ○ it is exactly correct. ○ it is under by approximately 0.6 units. ○ it is over by approximately 0.6 units. ○ it is over by 13 units.
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