The cross section of a square pyramid taken perpendicular to the base that passes through the top vertex produces which two-dimensional shape? note: use all lowercase letters in your answer to receive credit.

the shape we get is isosceles traingle.

Step-by-step explanation:

given that a pyramid with square base. It means on the slant  side this pyramid has triangles.

So, if we cut a cross section in this pyramid which is perpendicular to the base and passes through top vertex, we get an isosceles triangle whose base length is equal to side of square at base and other two equal side's length equals to the slant height of pyramid.

For better understanding figure is attached.

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!