Question

PLEASE HELP ME!!!! Given: regular square pyramid Find Py

Answer 1

Answer:

3√3

Step-by-step explanation:

Taking just the face that includes both P and y, we have a triangle with a base of 6 and a slant of 6.  Py is the perpendicular bisector of this base; this gives us a smaller right triangle with a leg of 6/2 = 3 and a hypotenuse of 6.  Using the Pythagorean theorm,

3²+b²=6²

9+b² = 36

Subtract 9 from each side:

9+b²-9 = 36-9

b² = 27

Take the square root of each side:

√(b²) = √27

b = √(3*3*3) = √(3²*3) = 3√3

Answer 2

Check the picture below.