Which kind of triangle is shown?

Question

asked Apr 11, 2017 81.1k views

2 Answers

Vitor Hugo · Answer 1 · 2017-04-15T11:27:44+0000

Answer:

Scalene triangle.

Explanation:

We have been given an image of a triangle on coordinate plane and we are asked to determine the kind of our given triangle.

First, of all we will use distance formula to find the length of each side of our given triangle.

$\text{Distance}=√((x_2-x_1)^2+(y_2-y_1)^2)$

$\text{Distance between A and B}=√((-2-2)^2+(3-3)^2)$

$\text{Distance between A and B}=√((-4)^2+(0)^2)$

$\text{Distance between A and B}=√((16+0)$

$\text{Distance between A and B}=4$

$\text{Distance between B and C}=√((2-1)^2+(3--3)^2)$

$\text{Distance between B and C}=√((1)^2+(3+3)^2)$

$\text{Distance between B and C}=√(1+(6)^2)$

$\text{Distance between B and C}=√(1+36)$

$\text{Distance between B and C}=√(37)$

$\text{Distance between A and C}=√((-2-1)^2+(3--3)^2)$

$\text{Distance between A and C}=√((-3)^2+(3+3)^2)$

$\text{Distance between A and C}=√(9+(6)^2)$

$\text{Distance between A and C}=√(9+36)$

$\text{Distance between A and C}=√(45)$

Since all the sides of triangle has different side lengths, so our given triangle is a scalene triangle.