the figure has one base that is a hexagon
Why did the hexagon go to the comedy club? Because it wanted to be a stand-up polygon!
To draw a figure with one base that is a hexagon, follow these steps:
Step 1: Start by drawing a straight line segment to represent the first side of the hexagon. Label one end of the line as point A.
Step 2: From point A, draw another line segment that is parallel to the first, and of equal length. Label the end of this segment as point B.
Step 3: Connect points A and B by drawing a straight line segment.
Step 4: From point B, draw another line segment that forms an angle of 120 degrees with the segment AB. Label the end of this segment as point C.
Step 5: Connect points B and C by drawing a straight line segment.
Step 6: Repeat Steps 4 and 5 two more times to complete the hexagon. From point C, draw a line segment forming an angle of 120 degrees with BC and label the end point as D. Then, connect points C and D. From point D, draw a line segment forming an angle of 120 degrees with CD and label the end point as E. Finally, connect points D and E.
Step 7: Connect points E and A by drawing a straight line segment, closing the hexagon.
Congratulations! You have now drawn a figure with one base that is a hexagon.
To find the area of a figure with a hexagonal base, you can follow these steps:
1. Determine the length of one side of the hexagon. Let's call this length "s".
2. Once you have the length of one side, you need to calculate the apothem. The apothem is the distance from the center of the hexagon to the midpoint of any side. It can be calculated using the formula: apothem = (s/2) * tan(π/6), where π is the mathematical constant pi (approximately 3.14159) and tan is the tangent function.
3. Next, you can calculate the area of one triangle within the hexagon. Each of the six triangles has a base equal to the length of a side (s) and a height equal to the apothem.
4. Multiply the area of one triangle by the number of triangles in the hexagon (which is 6) to find the total area of the hexagon.
Please note that if you are given the length of one of the sides or the apothem directly, you can skip the respective calculations and proceed with step 3.