Look at the figure below:

Length of side AB is 4, and the length of side BC is xand AC is between 4 and 8. There can be many triangles that satify this condition.

On one extreme when AC is almost 4. Then the the triangle becomes almost the line AB and \(x\) is almost 0.

On the other hand when AC is 8 then \(x=\sqrt{8^2-4^2} \approx 6.9\).

So all values from 0 to 6.9 form a right triangle. Hence all options are correct!

Attachment:

right.jpg [ 13.28 KiB | Viewed 6392 times ]
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Sandy

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