This unit focused, in part, on relationships in triangles. A triangle is the simplest type of polygon and is frequently used in construction. Explain why triangles are often used to build bridges, roofs, buildings, and other structures. Which properties of a triangle make it a desirable geometric shape for these applications? Which type of triangle is best? Why is the triangle preferred over other types of polygons? Explain.

A triangle is the strongest polygon. It is frequently used in construction because of its ability to distribute weight equally and withstand the force without any deformation.

Property of triangle that makes it a desirable geometric shape :The angle of the triangle is dependent on the side of the triangle opposite to it.

Once the triangle is constructed, there is no change in the angle between the legs unlike other polygons. This is mainly because the angle depends on the length of the side of the triangle. This the reason why triangles are preferred over other polygons. Also, any polygon can be strengthen by splitting it into triangles.

Equilateral triangles are most commonly used in truss bridges. Another most common triangle used in designing is right angled triangle.  

Step-by-step explanation:

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

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