We have 4 congruent equilateral triangles. What do we need more to make a pyramid?
(a) An equilateral triangle.
(b) A square with same side length as of triangle.
(c) 2 equilateral triangles with side length same as triangle.
(d) 2 squares with side length same as triangle.
Solution:
Given, 4 congruent equilateral triangles.
We have to determine the figure we need to make a pyramid.
A pyramid is a polyhedron whose base is a polygon and lateral faces are triangles.
Since the pyramid has a polygon base, we require a polygon at least with four sides.
On each edge of polygon there lies a triangle.
We already have 4 equilateral triangles, so we need a polygon with all 4 equal sides.
The four equal sided figure can be a square.
As the triangle lies on the edges of the square, its side must be equal to the side of the triangle.
Therefore, the required polygon is a square with the same side length as of a triangle.
✦ Try This: We have 3 congruent equilateral triangles. What do we need more to make a pyramid?
(a) An equilateral triangle.
(b) A square with same side length as of triangle and a equilateral triangle.
(c) 2 equilateral triangles with side length same as triangle.
(d) 2 squares with side length same as triangle.
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 10
NCERT Exemplar Class 8 Maths Chapter 6 Problem 13
We have 4 congruent equilateral triangles. What do we need more to make a pyramid? (a) An equilateral triangle, (b) A square with same side length as of triangle, (c) 2 equilateral triangles with side length same as triangle, (d) 2 squares with side length same as triangle
Summary:
We have 4 congruent equilateral triangles. We need a square with the same side length as a triangle to make a pyramid.
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