SOLUTION: The lateral are of a pyramid with a square bade is 1776 in^2. Its base edges are 24 in long. Find the height of the pyramid

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Question 1159674: The lateral are of a pyramid with a square bade is 1776 in^2. Its base edges are 24 in long. Find the height of the pyramid
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

L+=+a%2Asqrt%28a%5E2+%2B+4h%5E2%29

given:
LA=+1776in%5E2
base edges are a=24in

1176=+24%2Asqrt%2824%5E2+%2B+4h%5E2%29

1176%2F+24=sqrt%28576+%2B+4h%5E2%29
49=sqrt%28576+%2B+4h%5E2%29.......square both sides
49%5E2=576+%2B+4h%5E2
2401-576+=+4h%5E2
1825+=+4h%5E2
h%5E2=1825%2F4
h%5E2=456.25
h=sqrt%28456.25%29
h=21.360009363293827
h=21.36in