SOLUTION: Plot each point and from the right triangle ABC. Verify that the triangle is a right triangle.Find its area. A=(2,-6); B=(0,-6); C=(2,1)

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Question 985219: Plot each point and from the right triangle ABC. Verify that the triangle is a right triangle.Find its area. A=(2,-6); B=(0,-6); C=(2,1)
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
A=(,); B=(,); C=(,)
Plot each point and from the right triangle .

to verify that the triangle is a right triangle, find the length of each side and prove that

find
Solved by pluggable solver: Distance Formula to determine length on coordinate plane
The distance (d) between two points is given by the following formula:



Thus in our case, the required distance is



For more on this concept, refer to Distance formula.


find
Solved by pluggable solver: Distance Formula to determine length on coordinate plane
The distance (d) between two points is given by the following formula:



Thus in our case, the required distance is



For more on this concept, refer to Distance formula.


find
Solved by pluggable solver: Distance Formula to determine length on coordinate plane
The distance (d) between two points is given by the following formula:



Thus in our case, the required distance is



For more on this concept, refer to Distance formula.



so, , , and




now find its area:







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