Question

name the Triangle formed 3,0 6,4 and -2,3

Answer 1

Answer:

Let the coordinates of the triangle: A(3,0), B(6,4) and C(-2,3).

We know that d=√((x₂-x₁)²+(y₂-y₁)²).

Lets solve the distance between AB.

AB=√(6−3)²+(4−0)²

AB=√(3²+4²)

AB=√(9+16)

AB=√25

AB=5.

Thus, AB=5 units.

Lets solve BC.

BC=√(−2−6)²+(3−4)²

BC=√(64+1)

BC=√65 units.

Lets solve for CA.

CA=√(−2−3)²+(3−0)²

CA=√(25+9)

CA=√34 units.

AB≠BC≠CA.

Thus, ΔABC is scalene.