 # Basic Geometry Questions

Subject Mathematics Geometry

## Question

1) What’s the area of an equilateral triangle with side 5? (Please explain how you got your answer).

2) What’s the area of each of the triangles with the following sides:
a) 5, 12, 13
b) 4, 6, 8
c) 4, 6, 10
d) 4, 6, 11 (Explain the answers for parts c) and d)).

3) If a polygon has seven sides, what’s the sum of the all the angles?
4) If a regular polygon has eight sides, what is the measure of each angle?
5) If a polygon has six sides, how many diagonals does it have?
6) If I tell you that a polygon has 55 diagonals, can you tell me how many sides it has?
7) What would you call a polygon with twenty sides? Why?

## Solution Preview

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4) The sum of interior angles for the polygon with 8 sides is 180*(8-2)= 180*6=1080 degrees. Since we are told the polygon is regular => all interior angles have the same size equal with 1080/8=135 degrees. ...

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