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Investigate: Use strips and fasteners to make a triangle and a quadrilateral. Try to push inward at any one vertex of the triangle. Do the same to the quadrilateral. Is the triangle distorted? Is the quadrilateral distorted? Is the triangle rigid? Why is it that structures like electric towers make use of triangular shapes and not quadrilaterals?

Solution:

We use the concepts of triangles and quadrilaterals to answer the given question.

We use strips and fasteners to make a triangle and a quadrilateral. On pushing inward at any one vertex of the triangle, the triangle is not distorted, However, the quadrilateral is distorted.

Hence, a triangle is a rigid figure.

This is why structures like electric towers make use of triangular shapes and not quadrilaterals.

NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.5 Question 3

Investigate: Use strips and fasteners to make a triangle and a quadrilateral. Try to push inward at any one vertex of the triangle. Do the same to the quadrilateral. Is the triangle distorted? Is the quadrilateral distorted? Is the triangle rigid? Why is it that structures like electric towers make use of triangular shapes and not quadrilaterals?

Summary:

Using the concepts of triangles and quadrilaterals, it can be concluded that a triangle is a rigid figure whereas a quadrilateral is not. This is why structures like electric towers make use of triangular shapes and not quadrilaterals.

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