Question

x,y,z are three sides of a triangle and If x2 + y2 + z2 = xy + yz + zx, then the triangle is:
1 scalene
2 equilateral
3 isosceles

Answer 1

Answer:

Step-by-step explanation:

The triangle will be equilateral triangle.

1) x2 + y2+ z2 can be written as x*x +y*y + z*z.

2) x*x +y*y + z*z = x*y + y*z + z*x

3) (x*x - x*y)  + (y*y - y*z) + (z*z - z*x) = 0.

 make individually each term zero, you will get x = y= z.

Thanks. :)