1.

The points `(-2,5), (3, -4) and (7, 10)` are the vertices of the triangle then triangle is:

Answer» Let `A(-2,5), B(3,-4) and C(7,10)` are the vertices of the given triangle.
Then,
`AB = sqrt((3-(-2))^2+(-4-5)^2) = sqrt106`
`BC= sqrt((10 - (-4))^2+(7-3)^2) = sqrt212`
`AC = sqrt((7-(-2))^2+(10-5)^2) = sqrt106`
Now, `AB = AC`
Also, `AB^2+AC^2 = BC^2`
So, `ABC` is a right angled isoceles triangle.


Discussion

No Comment Found