I am having trouble finding the length of a sloping edge in the following problem:
A right pyramid, ht 6 cm stands on a square base of side 5cm. Find the legth of a sloping edge and the area of a triangular face.
I am having trouble finding the length of a sloping edge in the following problem:
A right pyramid, ht 6 cm stands on a square base of side 5cm. Find the legth of a sloping edge and the area of a triangular face.
Suppose the right pyramid is like the one in the following image:
Right pyramid has a square base . This square base has all equal sides where each side has length . We also know that the height of the right pyramid is which is
Now in sqare , is a right triangle with a right angle.
So by Pythogorean theorem:
But
So
We know that
Now is a right triangle with a right angle.
So:
That's the length of the slopping edge which is
So the area of:
So the area of the triangular face is