The statements that are true about the pyramid are
- The base of the pyramid is a square with four sides, each measuring 756 feet.
- The slant height of the pyramid is 612 feet.
- All four triangular faces are congruent.
- The pyramid has four lateral faces.
From the question, we are to determine the statements that are true about the pyramid
The diagram shows a square pyramid,
The length of a side of its base is 756 ft
and
The height / altitude of a triangular face is 612 ft
Since the pyramid is a square pyramid,
Then, the base must be a square with each side measuring 756 feet
∴ The first statement is true
Since the height of a triangular face is 612 ft,
Then,
∴ The slant height of the pyramid is 612 feet
NOTE: Slant height of a pyramid is the altitude of the triangle comprising a lateral face
Thus, the second statement is true
Since the triangular faces each have a base of 756ft and a height of 612 ft,
Then,
All four triangular faces are congruent
∴ The fourth statement is true
NOTE: Lateral sides of a solid are the faces on the <u>sides</u> of the shape
The pyramid has four lateral faces which are each a triangle
∴ The last statement is true
Hence, the statements that are true about the pyramid are
- The base of the pyramid is a square with four sides, each measuring 756 feet.
- The slant height of the pyramid is 612 feet.
- All four triangular faces are congruent.
- The pyramid has four lateral faces.
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