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Question-219998




Question Number 219998 by fantastic last updated on 04/May/25
Answered by mehdee7396 last updated on 04/May/25
AB=(√(61))  &   AC=6(√(10))  S_(ABC) =(1/2)×13×6=39  R=((abc)/(4S))=((13×(√(61))×6(√(10)))/(4×39))=((√(610))/2)
$${AB}=\sqrt{\mathrm{61}}\:\:\&\:\:\:{AC}=\mathrm{6}\sqrt{\mathrm{10}} \\ $$$${S}_{{ABC}} =\frac{\mathrm{1}}{\mathrm{2}}×\mathrm{13}×\mathrm{6}=\mathrm{39} \\ $$$${R}=\frac{{abc}}{\mathrm{4}{S}}=\frac{\mathrm{13}×\sqrt{\mathrm{61}}×\mathrm{6}\sqrt{\mathrm{10}}}{\mathrm{4}×\mathrm{39}}=\frac{\sqrt{\mathrm{610}}}{\mathrm{2}} \\ $$$$ \\ $$
Commented by mehdee7396 last updated on 04/May/25

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