Current location - Health Road Network - Medical equipment enterprise - As shown in the figure, the quadrilateral ABCD is connected to the semicircle O, AB is the diameter, AB=4, AD=DC=1, find the length of BC, First Aid

As shown in the figure, the quadrilateral ABCD is connected to the semicircle O, AB is the diameter, AB=4, AD=DC=1, find the length of BC, First Aid

Connect BD and AC, make DE⊥AC at E

∠CAD=∠DCA=∠ABD=∠CBD,∠ADB=∠ACB=90°

∴△AED∽△BDA,DA/AB=AE/BD

and BD?=4?-1?

∴AE=√15/4,AC=√15/2<

And BC?=4?-AC?

∴BC=7/2

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