Answer:
See proof below
Step-by-step explanation:
Consider triangle with midpoints D, E, F of the sides BC, AC and AB, respectively. If D, E and F are midpoints of the sides BC, AC and AB, then
Triangle ABC is equilateral triangle, then
If AB=BC=AC, then EA=CE=FA=BF=DC=DB.
By SAS theorem, ΔFAE≅ΔDCE≅ΔEBD.
Congruent triangles have congruent corresponding sides, then
EF=FD=DE. This means that triangle DEF is equilateral.
Answer:
There is no solution to
Step-by-step explanation:
That's because when you use that means you want the absolute value, which makes all numbers that are put into those to lines positive. The absolute value is used when you aren't using negative numbers or working with something that can't be in the negative. Think about it like a number line but the negative side to the left doesn't exists.
If you try plugging in -11 which would normally make that -6, it will change it from -11 to positive 11.
Anything you put into absolute value will be positive. So you won't be able to get -6 with this formula because you'll always be adding and to get -6 you need to subtract.
Applying the distance formula, to calculate the coordinates of B, use: 3 =√[(x-4)² + (y-2)²]
<h3>What is the Distance Formula?</h3>The distance formula, , is used to find the distance between two points on a coordinate plane.
We are given one point A(4, 2), let:
B (x, y) = (x2, y2)
A(4, 2) = (x1, y1)
d = 3 units
Plug in the values into the distance formula to find how to calculate the coordinates of B:
3 =√[(x-4)² + (y-2)²]
Learn more about the distance formula on:
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