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Question-203394




Question Number 203394 by professorleiciano last updated on 18/Jan/24
Answered by som(math1967) last updated on 18/Jan/24
((△BPQ)/(△ABC))=(1/2)  ⇒((BQ)/(BC))=(1/( (√2)))  ⇒((BQ)/2)=(1/( (√2)))⇒BQ=(2/( (√2)))=(√2) cm
$$\frac{\bigtriangleup{BPQ}}{\bigtriangleup{ABC}}=\frac{\mathrm{1}}{\mathrm{2}} \\ $$$$\Rightarrow\frac{{BQ}}{{BC}}=\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}} \\ $$$$\Rightarrow\frac{{BQ}}{\mathrm{2}}=\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}\Rightarrow{BQ}=\frac{\mathrm{2}}{\:\sqrt{\mathrm{2}}}=\sqrt{\mathrm{2}}\:{cm} \\ $$

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