Consider two segments of length
![a, b \ (a > b)](/media/m/1/7/1/17153994293b05b9d571abc4460d207b.png)
and a segment of length
![c = \sqrt{ab}](/media/m/9/1/7/917d7f8f57aaf99851accde0badf495d.png)
.
(a) For what values of
![a/b](/media/m/0/5/2/052a4cb3b4fae54d1f31bbd277c18f8a.png)
can these segments be sides of a triangle ?
(b) For what values of
![a/b](/media/m/0/5/2/052a4cb3b4fae54d1f31bbd277c18f8a.png)
is this triangle right-angled, obtuse-angled, or acute-angled ?
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Consider two segments of length $a, b \ (a > b)$ and a segment of length $c = \sqrt{ab}$.
(a) For what values of $a/b$ can these segments be sides of a triangle ?
(b) For what values of $a/b$ is this triangle right-angled, obtuse-angled, or acute-angled ?