Question

Which expression represents the height of the triangular base of the pyramid?

Answer 1

the angle in the triangle = 60 degrees

so tan 60 = h / (1/2) s = 2h /s
sqrt3 = 2h / s

h = sqrt3 s / 2


B is the correct choice

Answer 2

Option B. is the correct option.

Explanation:

Triangular base of the pyramid is an equilateral triangle. So, every angle of the triangle will be 60°

Length of the edge of this triangular base is S. In the figure attached we can see an equilateral triangle ABC with a side S and every angle = 60°

Now in ΔABC

tan60° =
`(Height)/(Base)`

√3 =
`(AD)/((S)/(2))`

AD =
`√(3)((S)/(2))=(S√(3))/(2)`

Therefore, Option B.
`(S√(3))/(2)` is the correct option.