jmc

Question

In the diagram, AB, BC, CD, DE, EF, FG, GH, and HK all have length 4, and all angles are right angles, with the exception of the angles at D and F. FIGURE Determine the length of DF. FIGURE

Accepted Answer

Since DE=EF=4 and DEF = 90^, by the Pythagorean Theorem, align* DF^2 &= DE^2+EF^2 &= 4^2+4^2 &=32, align*so that DF = 32=42.