Pre-Calculus, 9th edition
55

 PAGE: 8 SET: Exercises PROBLEM: 55

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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