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Question Number 105014 by mathocean1 last updated on 25/Jul/20

$$1)Determinate\alpha thenshowthatIbelongtothecircle$$$$2)showthat\left(BF\right)\mathrm{\perp }\left(DI\right).$$$$$$$$$$

Commented by 1549442205PVT last updated on 25/Jul/20

$$\mathrm{BF}\mathrm{\perp }\mathrm{DI},\mathrm{have}\mathrm{not}\mathrm{BF}\mathrm{\perp }\mathrm{DE}\mathrm{you}\mathrm{look}\mathrm{at}$$$$\mathrm{once}\mathrm{again}\mathrm{your}\mathrm{figure}?$$

Commented by mathocean1 last updated on 25/Jul/20

$$yessiritwasanerror.$$$$ShowthatBF\mathrm{\perp }DI$$

Commented by mr W last updated on 25/Jul/20

$$seeQ104998$$

Commented by 1549442205PVT last updated on 28/Jul/20

$$\mathrm{It}\mathrm{is}\mathrm{easy}\mathrm{becau}\mathrm{se}\mathrm{we}\mathrm{proved}\mathrm{that}\mathrm{I}$$$$\mathrm{lie}\mathrm{on}\mathrm{the}\mathrm{circle}.\mathrm{Then}\widehat{\mathrm{BID}}=90°\mathrm{since}$$$$\mathrm{BD}\mathrm{is}\mathrm{the}\mathrm{diameter}\mathrm{of}\mathrm{the}\mathrm{circle}.$$

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