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Question

In ΔABC, mB<90 and ¯¯¯¯¯¯¯¯¯AD¯¯¯¯¯¯¯¯BC. Also AB=9, BC=6 and BD=2 then find AC.

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Solution

By Pythagoras theorem in ΔADB,
AB2=BD2+AD2
AD2=AB20BD2
Similarly in ΔACD,AC2=AD2+DC2
AC2=AB2BD2+DC2
=814+16=93
AC=93cm.

1208016_1392650_ans_6321bf78ea924d4aa5cb41e648e6f702.jpg

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