Question

How does finding the area of one face of a triangular pyramid that is made up of a equilateral triangles help you find the surface area of the triangular pyramid?

Answer 1

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The surface area of the triangular pyramid will be 4 times the area of the triangle.

What is a triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

If a triangular pyramid is made up of equilateral triangles, then this 3D shape will have 4 equilateral triangles and every triangle will be connected to the other 3 triangles.

Now since the area of each equilateral triangle is the same, and the area of an equilateral triangle is known then the surface area of the triangular pyramid will be 4 times the area of the triangle.

Hence, the surface area of the triangular pyramid will be 4 times the area of the triangle.

Learn more about Triangle:

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