Consider a convex hexagon in which all pairs of opposite sides are parallel. Prove that if one pair of opposite sides have equal

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2 years ago

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length, then the other two pairs of opposite sides also have equal length.

1 answer:

hjlf · Answer 1 · 2023-07-29T00:44:08+03:00

A pair of the opposite sides of a hexagon has equal length and this is proved below.

<h3>How to illustrate the hexagon?</h3>

It should be noted that a hexagon is a polygon that has six sides.

In this case, it has 6 sides.

The total angles will be:

= (n - 2) × 180

= (6 - 2) × 180

= 720°

Each angle will hence be:

= 720°/6

= 120°

Each angle are equal and this illustrates that the parallel sides are equal.

A diagram is attached to illustrate the pair of parallel sides.

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