Question

State Euler’s theorem for polyhedrons. Verify the theorem for triangular

pyramid.​

Answer 1

Recall the Euler's formula, F + V = E + 2

Here number of faces, F = 5 Number of vertices, V = 6 Number of edges, E = 9 Consider, F+V = 5 + 6 = 11 E + 2 = 9 + 2 = 11.

Hence F + V = E + 2

Thus Euler's formula is verified.