![image](https://tex.z-dn.net/?f=CH%5E2%3DAH%5Ccdot+BH%0A%5C%5C%5C%0ACH%3D+%5Csqrt%7BAH%5Ccdot+BH%7D+%3D+%5Csqrt%7B3%5Ccdot+9%7D+%3D+%5Csqrt%7B27%7D+%0A%5C%5C%5C%0AAC%3D+%5Csqrt%7BAH%5E2%2BHC%5E2%7D+%3D+%5Csqrt%7B9%2B27%7D+%3D6%0A%5C%5C%5C%0ABC%3D+%5Csqrt%7BBH%5E2%2BHC%5E2%7D+%3D+%5Csqrt%7B81%2B27%7D+%3D%5Csqrt%7B108%7D+%0A%5C%5C%5C%0A%5Csqrt%7B108%7D+%3E6)
6" alt="CH^2=AH\cdot BH
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CH= \sqrt{AH\cdot BH} = \sqrt{3\cdot 9} = \sqrt{27}
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AC= \sqrt{AH^2+HC^2} = \sqrt{9+27} =6
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BC= \sqrt{BH^2+HC^2} = \sqrt{81+27} =\sqrt{108}
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\sqrt{108} >6" align="absmiddle" class="latex-formula">
Ответ: корень 108