If the height of a triangular pyramid is 8 and the slant height is 10, then what is the base edge length and lateral edge length??

Question

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Answer 1

If the height of the triangle is 8 and the slant height is 10, the center of the equilateral triangle at the base is 6 from the side (6-8-10 right triangle)

If the center is 6 from the side, the base edge is of length 6 * 2√3 = 12√3

Then, to get the lateral edge length, we have another right triangle with sides slant height and half the side length is√((6√3)^2+10^2) = √208 = 4√13