Draw the rough sketch of triangular pyramid and verify the Euler's for

1.	Draw the rough sketch of triangular pyramid and verify the Euler's formula for it.
Answer» A triangular pyramid has 4 faces, including the base, are triangles, 4 veritces and 6 edges. Faces = 4 Vertices = 4 Edges = 6 F + V = E + 2 F + V - E = 2 This relationship is called Euler's Formula. ⇒ 4 + 4 - 6 = 2 ⇒ 8 - 6 = 2 ⇒ 2 = 2 L.H.S. = R.H.S. Hence, The Euler's Formula is verified for a Triangular Pyramid.

Draw the rough sketch of triangular pyramid and verify the Euler's formula for it.

Answer»

A triangular pyramid has 4 faces, including the base, are triangles, 4 veritces and 6 edges.

Faces = 4

Vertices = 4

Edges = 6

F + V = E + 2

F + V - E = 2

This relationship is called Euler's Formula.

⇒ 4 + 4 - 6 = 2

⇒ 8 - 6 = 2

⇒ 2 = 2

L.H.S. = R.H.S.

Hence, The Euler's Formula is verified for a Triangular Pyramid.