Answer to Question #201885 in Physics for Festus

Question

ABCD is a quadrilateral with G and H the mid points of line DA and DC respectively. Show that line AB + line DC = 2GH

Answer 1

As we see,

$$2GH<AB+DC.$$

However, we can surely say that

$$2GH=AC$$

because AC is the base of triangle ADC and GH is its midline.