SOLUTION: OABC is a tetrahedron whose faces are identical equilateral triangles of sides 8 cm each .Find its slant height. Leaving your answer correct to 3 significant figures

Question 1074875: OABC is a tetrahedron whose faces are identical equilateral triangles of sides 8 cm each .Find its slant height. Leaving your answer correct to 3 significant figures
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The slant height is the height of the equilateral triangles of sides 8 cm each, that are the sides of that pyramid.
(Of course, the base is also an equilateral triangles of sides 8 cm each).
The height can be calculated using the Pythagorean theorem,
or using trigonometry.
For any equilateral triangle,
the height is times the length of the side.
for that triangle, the Pythagorean theorem says
, so --> --->. --> --> (correct to 3 significant figures ).
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