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題目

解題步驟

1. 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.

2. 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

   $$25.612 - 25 = 0.612 \approx 0.6$$

3. Final answer

   It is under by approximately 0.6 units.

答案

Question Analysis

OCR Text

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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