Triangle ABC is given by the points A (3, 2) , B (4, 4) , and C (5, 1). Choose YES or NO for each statement.

Question

Triangle ABC is given by the points A (3, 2) , B (4, 4) , and C (5, 1). Choose YES or NO for each statement.

The perimeter of ABC is 9.9 units.

ABC is an equilateral triangle

The perimeter of ABC is 7.6 units,

Answer 1

Hi Mary T.

 

There are several options, you can draw your triangle on a coordinate grid for a start.

You can use the distance between two points formula to calculate the length of each side, then combine the lengths to get the perimeter.

Give that a try.

Answer 2

Compute the distances between the points to get the lengths of the sides of the triangle.

Add the lengths of the sides to get the perimeter.

If the lengths are all identical then the triangle is equilateral, otherwise, not.