Question

solve the following question. (Any one)
Show that the points (2.0), (-2, 0) and (0, 2) are the vertices of a triangle. Also state with
reason the type of the triangle.​

Answer 1

Step-by-step explanation:

let the points are A(2,0),B(-2,0) and C(0,2)

Distance between A and B

=√{(x2-x1)²+(y2-y1)²}

=√{(-2-2)²+(0-0)²}

=√(4²+0²)

=√(16+0)

=4

Distance between B and C

=√{(x2-x1)²+(y2-y1)²}

=√{(0-(-2))²+(2-0)²}

=√{(0+2)²+2²}

=√(2²+2²)

=√(16+16)

=4√2

Distance between A and C

=√{(x2-x1)²+(y2-y1)²}

=√{(0-2)²+(2-0)²}

=√(2²+2²)

=√(4+4)

=√8

=2√2

4+2√2>4

so it is a triangle

it is an scalene triangle.