Question

If x2 + y2 + z2 = xy + yz + zx , then the
triangle formed with the sides x, y and z is​

Answer 1

Answer:

x=z. triangle is equilateral.

Step-by-step explanation:

x2+ y2+ z2- xy- yz- xz= 0

Now, multiple by two and split them.

x2+ y2– 2xy+ y2+ z2– 2yz+ x2+ z2– 2xz= 0

Now cluster them:

(x-y)2+ (y-z)2+ (x-z)2= 0

Since squares can not be negative, each of these terms should be zero. This means,

x=y,

y=z,

x=z. triangle is equilateral.

i hope it helps u