I would say that the angle would be an exterior angle because it's usually between the side of the polygon connected by a line as an extension of the adjacent side.
here's an example. hope it helps!
here's an example. hope it helps!
How many quarts of paint if wall is 10 feet long and 8 feet tall and want to cover 50 square feet?
1 answer:
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Step-by-step explanation:
Take a look at the picture, And tell me if am wrong
The coordinates of the 4th vertex of the rhombus are (-2,3)
<h3>How to determine the coordinates of the 4th vertex?</h3>The diagonals are given as:
(-7, -2) and (-1, -4)
The 3rd vertex is given as: (-6,-9)
Calculate the distance between the vertices of the diagonals and the 3rd vertex using:
So, we have:
Let the 4th vertex be (x,y)
So, we have:
Equate d3 and d4
Take the square of both sides
Expand
Evaluate the like terms
1 + 2x + 16 + 8y = 49 + 14x + 4 + 4y
Collect like terms
14x - 2x + 4y - 8y = 1 + 16 - 49 - 4
12x - 4y = -36
Divide through by 4
3x - y = -9
Next, we test the options in the above equation
Point (-8,13) means x = -8 and y = 13
So, we have:
3x - y = -9
3(-8) - 13 = -9
-37 = -9 --- this is false
Point (-2, 3) means x = -2 and y = 3
So, we have:
3x - y = -9
3(-2) - 3 = -9
-9 = -9 --- this is true.
Hence, the coordinates of the 4th vertex are (-2,3)
Read more about rhombus at:
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