P\(_{\triangle MEF}\) -?

Ответ: P\(_{\triangle MEF}\) = 24

1. AE = 10, OE = 8, OF = 6.
2. \(AE^2 = AO^2 - OE^2\)
3. \(AE^2 = 10^2 - 8^2 = 100 - 64 = 36\)
4. AE = 6, следовательно, EM = 6.
5. Пусть BF = x, тогда CF = CD - DF = AB - DF = AB - (AO + OF) = 10 + 6 = 16.
6. \(CF^2 = CO^2 - OF^2\)
7. \(CF = \sqrt{10^2 - 6^2} = \sqrt{100 - 36} = \sqrt{64} = 8\)
8. \(BF = 8, MF = 8\)
9. \(P_{\triangle MEF} = EM + MF + EF = 6 + 8 + 10 = 24\)

Ответ: P\(_{\triangle MEF}\) = 24