Question

The vertices of a triangle are located at (-4, 1). (0, -2) and (3, 2). Select the correct option from the drop-down to complete the sentence.

The triangle is

Answer 1

Isosceles Right Triangle.

Explanation:

Let the points be A, B and C where A = (-4, 1), B = (0, -2) and C = (3, 2)

Slope of AB = (-2-1)/(0- -4) = -3/4

and its length = √(-2-1)^2 + (0- -4)^2 = √25 = √5.

Slope of BC = (2 - -2)/(3 - 0) = 4/3

and its length = √(2 - -2)^2 + (3)^2 = √25 = √5

Slope of AC = ((2-1)/3- -4) = 1/7

and its length = √((4--4)^2 + (2-1)^2 = √17

The product of the slopes of AB and BC = -3/4 * 4/3 = -1 so

m < ABC = 90 degrees.

Also, the sides AB and BC are equal in length

So. the Triangle is an isosceles right triangle.