Solid Geometry: Finding the height of a triangular pyramid



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Question: If the slant height of a triangular pyramid is 12 and the lateral edge is 15, then what is the height and base edge length?
PLEASE ANSWER I NEED THIS ASAP!!!!!!!

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Answered By:

Samantha B.
Tutor for GRE, ACT, AP, SAT Math, and others
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Written Explanation:

First, use the Pythagorean Theorem too find the base length 15 is the hypotenuse and 12 is a leg, thus:122 + x2 = 152144 + x2 = 22581 = x29=xThis is only half of the base, of course. The total base length is 18. Tot find the height, please see the video.
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