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What would be the area of each triangle? What is the area of the tables surface?

What Would Be The Area Of Each Triangle What Is The Area Of The Tables Surface class=

Sagot :

Given,

The base is

[tex]B\text{ = 10 in.}[/tex]

The height is

[tex]H=8.7\text{ in.}[/tex]

To find: Area of each triangle and the area of the table surface.

Solution:

Draw a line from each vertex to the vertex on the opposite side of the hexagon, you will form 6 triangles.

The area of each triangle is calculated by the formula.

[tex]Area\text{ of each triangle = }\frac{1}{2}\times B\times H[/tex]

Put the given values in the formula.

[tex]\begin{gathered} Area\text{ of each triangle = }\frac{1}{2}\times10\text{ in. }\times8.7\text{ in.} \\ Area\text{ of each triangle = 43.5 in.}^2 \end{gathered}[/tex]

Thus, the area of each triangle is 43.5 in.^2

Now, the area of the table surface is

[tex]43.5\times6=261\text{ in.}^2[/tex]

Thus, the area of the table surface is 261 in.^2.

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