QUESTION IMAGE
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.
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
$25.612 - 25 = 0.612 \approx 0.6$
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.