Respuesta :
Answer:
All the lateral faces in a triangular pyramid are congruent.
Step-by-step explanation:
The statement that is true for all triangular pyramid is given by: Option B: All triangular pyramids have three lateral faces.
What is a triangular pyramid?
Take a traingle. This is a base. Now take 3 triangles such that each of them are connected to one-one side of the first traingle and when they're taken together, they form a closed object, called as a triangular pyramid.
One such triangular pyramid is shown in the image attached below.
The triangle at bottom is called base of the pyramid, and those 3 triangles which are slant, are called lateral faces of the pyramid.
Evaulating truthness of each statement:
- All the lateral faces in a triangular pyramid are congruent.
It isn't necessary for all triangular pyramid. This is true only for those triangular pyramid in which the base is formed by an equilateral triangle and the peak of the pyramid is exactly above the centroid of the base. This isn't true for all triangular pyramid.
- All triangular pyramids have three lateral faces.
Obviously true as this is involved in the definition of triangular pyramids to have 3 triangles on its sides, except the base traingle(which isn't called lateral face).
- All triangular pyramids have five faces.
Total faces in a triangular pyramid = 3 lateral faces + 1 base = 4 faces
Thus, its totally incorrect for any triangular pyramid.
- All the faces in any triangular pyramid are equilateral triangles.
False for most of the triangular pyramids. This is only true when the triangular pyramid has all faces congruent to each other, which isn't always true.
Thus, the statement that is true for all triangular pyramid is given by: Option B: All triangular pyramids have three lateral faces.
Learn more about triangular pyramids here:
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