Giúp mk vsssSssssssss

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Giúp mk vsssSssssssss
giup-mk-vssssssssssss

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Thu Nguyệt 5 years 2021-05-17T15:07:25+00:00 1 Answers 32 views 0

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  1. ngocdiep
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    2021-05-17T15:09:13+00:00
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    $\Delta AHB, \Delta AHC$ vuông tại $H$ $\Rightarrow HA^2+HB^2=AB^2 \Leftrightarrow HB^2=AB^2-HA^2\\ \Rightarrow HA^2+HC^2=AC^2 \Leftrightarrow HC^2=AC^2-HA^2\\ a)HB>HC\\ \Rightarrow HB^2>HC^2\\ \Leftrightarrow AB^2-HA^2 >AC^2-HA^2\\ \Leftrightarrow AB^2>AC^2\\ \Leftrightarrow AB>AC\\ b)AB>AC\\ \Rightarrow AB^2>AC^2\\ \Leftrightarrow HA^2+HB^2>HA^2+HC^2\\ \Leftrightarrow HB^2>HC^2\\ \Rightarrow HB>HC\\ c)HB=HC\\ \Rightarrow HB^2=HC^2\\ \Leftrightarrow AB^2-HA^2 =AC^2-HA^2\\ \Leftrightarrow AB^2=AC^2\\ \Leftrightarrow AB=AC\\ AB=AC\\ \Rightarrow AB^2=AC^2\\ \Leftrightarrow HA^2+HB^2=HA^2+HC^2\\ \Leftrightarrow HB^2=HC^2\\ \Rightarrow HB=HC$

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