Hi, I only need help with three geo questions, so if you can help that'd be great.
1. It says what are the steps used to construct a hexagon inscribed in a circle using straightedge and a compass?
Heres my order of the steps, please correct me if I'm wrong.
-Draw a cirlce using the compass
-Add a point on the circle
-Place the point of the compass on the point most recently drawn on the circle. Create an arc with the compass that intersects the circle. Mark the intersection with a point.
-Use the circle's radius to set the width of the compass
-Repeat the previous steps 4 times
-Connect consecutive points with the straightedge
(They have to be in correct order)
2. What is the area of the triangle whose vertices are (4,-6) (9,-6), and (6,-2)?
I got A=10, but I would like to make sure
and 3. The coordinate of the rectangle are (-8,2) (0,4) (1,0) (-7,-2). What is the perimeter of the rectangle to the nearest tenth of a unit?
This one I did not answer trufully, I'm not sure.
2. What is the area of the triangle whose vertices are (4,-6) (9,-6), and (6,-2)
A = (4,-6)
B = (9,-6)
C = (6,-2)
Call AB the base = 5 units
The height = 4 units
Area = (1/2) B * H = (1/2)5 * 4 = 10 units^2
3. The coordinate of the rectangle are (-8,2) (0,4) (1,0) (-7,-2). What is the perimeter of the rectangle to the nearest tenth of a unit?
(-8,2) = A
(0,4) =B
(1,0)= C
(-7,-2) = D
AB = √ [(0+ 8)^2 + (4 -2)^2 ] = √ [64 + 4 ] = √ 68 = 2√ 17
BC = √ [(1- 0)^2 + (4 -0)^2 ] = √ [1 + 16 ] = √ √ 17
Perimeter = 2 ( AB + BC) = 2( 2√ 17 + √ 17 ) = 2 (3√ 17) = 6√ 17 ≈ 24.7 units