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Chapter 12: Q21. (page 486)

Find the following for the regular triangular pyramid.

If AM = 9 and VA = 10, find h and l.

Short Answer

Expert verified

h=8andl=73

Step by step solution

01

Step 1. Given information.

The figure provided in the question,

AM=9andVA=10

02

Step 2. Determine l.

SinceAM=9 ,

32a=9a=183[multiply]a=63[simplify]

Now,VA=10 ,

l=(10)2鈭�(632)2=100鈭�27[square]=73[subtract]

03

Step 3. Determine h.

Now determine the height of pyramid.

h2+(3)2=(73)2h2=73鈭�9[sqaureandsubtract]h2=64[subtract]h=8[squareroot]

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