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In triangle ABC angle B is equal to 90 degree and BD is perpendicular to AC .if AC isequal to 9 cm and AD is equal to 3 cm then find BD |
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Answer» BD=6 CMExplanation:In Δ ABC, ∠B=90°SEE FIGURE GIVEN IN THE LAST By PYTHAGORAS Theorem,AC=9 cmAD=3 cmAC²=AB²+BC²9²=AB²+BC²AB²=9²-BC²AB²=81-BC²In Δ ABD,∠D=90°By Pythagoras Theorem,AB²=AD²+BD²BD²=AB²-AD²BD²=81-BD²-AD²BD²+BD²=81-AD²2BD²=81-AD²Given That AD=3 CMSo,2BD²=81-3²2BD²=81-92BD²=72BD²=72/2BD²=36BD=√36BD=6 CMHope its Helpfull to You,Thanking You |
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