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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.

 Jan 8, 2017
 #1
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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

 

 

cool cool cool

 Jan 8, 2017
 #2
avatar+129840 
0

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

 

 

cool cool cool

 Jan 8, 2017
 #3
avatar+129840 
0

Hexagon inscribed in a circle : 

 

http://www.mathopenref.com/constinhexagon.html

 

 

 

cool cool cool

 Jan 8, 2017

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