Question

name the type of triangle formed by the points A (-5,6), B (-4,-2), C (7,5)?

Answer 1

The triangle is scalene triangle

Answer 2

Answer: It is scalene triangle.

Step-by-step explanation:

Since we have given that

A (-5,6), B (-4,-2), C (7,5)

Distance between AB is given by

$\sqrt{(-4+5)^2+(-2-6)^2}\\\\=\sqrt{1+64}\\\\=\sqrt{65}\ units$

Distance between BC is given by

$\sqrt{(7+4)^2+(5+2)^2}\\\\=\sqrt{11^2+7^2}\\\\=\sqrt{121+49}\\\\=\sqrt{170}\ units$

Distance between CA is given by

$\sqrt{(7+5)^2+(5-6)^2}\\\\=\sqrt{12^2+1}\\\\=\sqrt{144+1}\\\\=\sqrt{145}\ units$

Hence, all sides are of different length. So, it is scalene triangle.