If FC=20 m and FH=12 m , what is the length of HE ?

To find the length of HE, we need to first calculate the length of the entire line segment FH.

Using the Pythagorean theorem, we can find the length of FH:
FH^2 = FC^2 + CH^2
FH^2 = 20^2 + 12^2
FH^2 = 400 + 144
FH^2 = 544
FH = √544
FH ≈ 23.32

Now that we have the length of FH, we can find the length of HE by subtracting the known length of EH from the length of FH:
HE = FH – EH
HE = 23.32 – 12
HE ≈ 11.32

Therefore, the length of HE is approximately 11.32 meters.