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55

Step-by-step Answer
PAGE: 8SET: ExercisesPROBLEM: 55
Please look in your text book for this problem Statement

The points are , and .

Calculate lengths of each side of the triangle by using the distance  formula,

.

Calculate length of the .

and .

Substitute for , for , for and for in above formula.

             

               

Calculate length of the .

and .

Substitute for , for , for and for in above formula.

             

               

Calculate length of the .

and .

Substitute for ,  for , for and for in above formula.

               

                

               

Lengths of three sides of the triangle are different, so the triangle is not isosceles triangle.

Graph:

Draw the coordinate plane.

Plot the points and connect the plotted points.

Verify the Pythagorean theorem.

is a right angle triangle.

is a right angle triangle.



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