Question

The Tetrahedron Superyacht designed by Jonathan Schwinge is a regular tetrahedron with edges 20 m long. The distance r from one corner to the center of the base is 11.5m. What is the vertical height, h , of the tetrahedron

Answer 1

A tetrahedron is a triangular pyramid. It has four triangular faces and four vertices. 

In the question, we are told that the length of the edges are all equal = 20m and the length from one corner to the center of the base = 11.5m

We sketch a diagram of a tetrahedron with the given measurement as shown below

To find the height, we will use the Pythagoras theorem

20² = h² + 11.5²
h² = 20² - 11.5²
h² = 267.75
h = √267.75
h = 16.36 (rounded to two decimal places)

Answer 2

Answer:

16.36

Step-by-step explanation: