Advertisement of medical emergency equipment

Even BD, AC, such as DE⊥AC in E.

∠CAD=∠DCA=∠ABD=∠CBD,∠ADB=∠ACB=90

∴△AED∽△BDA,DA/AB=AE/BD

BD again? =4? - 1?

∴AE=√ 15/4,AC=√ 15/2

BC again? =4? -AC?

∴BC=7/2