Question

Draw a concave hexagon. How many diagonals does it have?

Answer 1

A concave hexagon is a hexagon with at least one interior angle greater than 180 degrees. To find the number of diagonals in a concave hexagon, use the formula (n * (n - 3)) / 2, where n is the number of sides of the polygon.

Step-by-step explanation:

A concave hexagon is a hexagon with at least one interior angle greater than 180 degrees. To draw a concave hexagon, start with a regular hexagon and then extend one of the sides inwards. This will create an interior angle greater than 180 degrees.

Now, let's find the number of diagonals in a concave hexagon.

A diagonal is a line segment that connects two non-adjacent vertices of a polygon. To find the number of diagonals in a concave hexagon, we can use the formula:

Number of diagonals = (n * (n - 3)) / 2

where n is the number of sides of the polygon. For a hexagon, n = 6. Plugging n = 6 into the formula, we get:

Number of diagonals = (6 * (6 - 3)) / 2 = 9 diagonals

Answer 2

A concave hexagon has no angle pointing inwards, more precisely, no internal angles can be less than 180 and a concave has a cave in it. So base on that fact, the diagonal that is present in a concave hexagon is 9 diagonals. I hope you are satisfied with my answer and feel free to ask for more if you have further questions and clarifications