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@noknees
11h
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on: Are you smarter than a 12-year-old?
science
assuming the point between A and C to be say: P, we get a
\Delta
PCD and a quad ABDP
so, as per problem, AB + BD + DP + DA = CD + PD + CP + 12
\implies
10 + 10 + DP + (10-CP) = 10 + PD + CP + 12
\implies
30 + PD - CP = 22 + PD + CP
\implies
8 = 2 * CP
\implies
CP = 4
thus
\Delta
PCD = 0.5 * CP * CD = 0.5 * 4 * 10 = 20 cm²
pretty simple :)
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@cryotosensei
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11h
Haha
Let me tag you when I get stumped by those seemingly insurmountable questions
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@noknees
11h
lol sure, i'd be glad, sometimes even I do look back to these elementary maths when my brain is fizzled with calculus
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\DeltaPCD and a quad ABDP\implies10 + 10 + DP + (10-CP) = 10 + PD + CP + 12\implies30 + PD - CP = 22 + PD + CP\implies8 = 2 * CP\impliesCP = 4\DeltaPCD = 0.5 * CP * CD = 0.5 * 4 * 10 = 20 cm²