If ΔFGH is isosceles and FG < 3 cm, GH = 8 cm, then of the following, the true relation is.

Given : GH = 8cm and FG < 3 cm

Also, $$\triangle$$FGH is isosceles.

Solution : Since, FG < 3, => It can only be either 1 or 2.

case 1 : If FG = 1 cm

$$\because$$ Sum of any two sides of a triangle is always greater than the third side.

Since it is an isosceles triangle, if FG = FH = 1

The, above property will be contradicted as then, FH + FG will not be greater than HG(8).

=> Hence, the two equal sides are GH and FH

case 2 : If FG = 2 cm

As mentioned above, here also the two possible equal sides are GH and FH

=> GH = FH