Question

The triangle formed by points (2,3) (5,4)(6,7) is​

Answer 1

Answer:

Step-by-step explanation:

Hope this will help!!!

Answer 2

Answer:

The triangle formed by points (2,3) (5,4)(6,7) is​ an isosceles triangle

Step-by-step explanation:

The coordinates of the given triangle are:

A(2,3), B(5,4), C(6,7)

To know the type of the given triangle, let us first find out the length of each side with the help of distance formula.

Distance formula for any two points ($x_{1},y_{1}$) and ($x_{2},y_{2}$) is

$d = \sqrt{(y_{2}-y_{1})^{2}+(x_{2}-x_{1})^{2}}$

Putting the vertex coordinates of the triangle, we get

AB = $\sqrt{(4-3)^{2}+(5-2)^{2}} = \sqrt{1+9} = \sqrt{10}$

BC = $\sqrt{ (7-4)^{2}+(6-5)^{2} } = \sqrt{9 + 1} = \sqrt{10}$

AC = $\sqrt{(7-3)^{2}+(6-2)^{2}} = \sqrt{16 + 16} = \sqrt{32}$

It is clear that,

AB = BC

Therefore, ΔABC is an isosceles triangle.