∴CD and BE are the heights of AB side and AC side respectively.
∴△BDP and△△△ CEP are right triangles,
And a, d, p, e four-point circle, ∠A=60?
∴∠DPE= 120
∴∠DPB=∠EPC=60
∴∠DBP=30
In the right triangle BDP, DP= 1.
∴BP=2,
Similarly, CP=4 is obtained in CEP of right triangle.
∴BP+CP=6