In triangle ACE points B,D and F are midpoints of the sides. If AC and FB = 3. Find EC.

Please show work.

EC = 1.5

Work:

Since B and D are midpoints of AC and FB, respectively, we can say that AB = BC and FD = FC.

Therefore, we can use the Pythagorean Theorem to solve for EC:

AC^2 + FB^2 = EC^2

(3)^2 + (3)^2 = EC^2

9 + 9 = EC^2

18 = EC^2

EC = √18

EC = 1.5

Pythagoras ????

Where did it say the triangle was right-angled ???
Another srew-up by the bot.

Furthermore, we have to know on what sides the midpoints B,D and F
would lie. AC and FB = 3 bothers me.