Question

4. Check whether (5,-2), (6,4) and (7, - 2) are the vertices of an isosceles triangle.​

Answer 1

Answer:

here the main concept is of distance formula

Hope it helps....

Answer 2

Let A(5,-2), B(6,4) and C(7,-2) be the vertices of the triangle(ABC)

Now, AB = √(5-6)²+(-2-4)²

= √{-1)²+(-6)²

= √1+36

= √37

And, BC = √(6-7)²+(4-(-2))² = √{6-7)²+(4+2)²

= √{-1)²+6²

= √1+36

=√37

∴ AB = AC

⇒ Two sides of the triangle are equal.

So, triangle ABC is isoceles.