The bottom of p-abcd is a rectangle, the side pad is an equilateral triangle, and the side pad ⊥ bottom ABCD, When the value of AD / AB is equal to, it can make Pb ⊥ AC? And the proof is given

The bottom of p-abcd is a rectangle, the side pad is an equilateral triangle, and the side pad ⊥ bottom ABCD, When the value of AD / AB is equal to, it can make Pb ⊥ AC? And the proof is given

Let the midpoint of ad be e
Because an equilateral triangle
So PE ⊥ ad
Because of pad on the side and ABCD on the bottom
So PE ⊥ ABCD
Connect EB
If you want Pb ⊥ AC, let EB ⊥ AC
Let ad = a
AB=b
According to the similarity
b^2=a^2/2
a/b=√2
You can ask me if you don't understand
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