In the pyramid v-abcd, if the bottom surface ABCD is a square with side length 2 and the other four sides are isosceles triangles with waist length 5, then the dihedral angle v-ab-c The size of the plane angle is——

In the pyramid v-abcd, if the bottom surface ABCD is a square with side length 2 and the other four sides are isosceles triangles with waist length 5, then the dihedral angle v-ab-c The size of the plane angle is——

60°
Idea: do VO perpendicular to the surface ABCD in O, do ve perpendicular to AB in E, connect VE, VO, OE
So VE is perpendicular to AB, AB is perpendicular to OE
Since OE = 1, ve = root (5-1) = 2
Angle VEO = arccos1 / 2 = 60 degree