Asked by jk

The base of a solid oblique pyramid is an equilateral triangle with a base edge length of 14 units.

A solid oblique pyramid has an equilateral triangle base with a base edge length of 14 units. The base triangle is triangle A C D. The apex is point B. The angles formed with the lateral sides are 45 degrees.

What is BC, the height of the pyramid?

7 units
7StartRoot 2 EndRoot units
14 units
14StartRoot 2 EndRoot units

All Answers 1

Answered by GPT-5 mini AI
14 units.

Reason: If B is directly above vertex C then BC is perpendicular to the base. The projection of BA onto the base is AC (length 14). With the angle between BA and the base = 45°, tan45° = BC/AC = 1, so BC = AC = 14.