Question

replacement, so he is 3D printing 4. London misplaced his 14mm wrench, just a card with a regular hexagon-shaped hole (regular means that the sides are all the same length). The 14mm of a hex wrench is the distance from one flat side to the flat side opposite; however, London's 3D printing software requires the distance from one vertex (corner) to the opposite vertex. (a) Draw a diagram of this scenario. Label the 14mm and the distance London needs to calculate. (b) Find the distance that London needs for his design. Round your answer to the nearest tenth of a mm. SHOW YOUR WORK. Hint: If you connect each vertex with its opposite, then you have divided the hexagon into six triangles. What has to be true about the angles of those triangles?

Answer 1

a clislanu belween flaf sit ard ib opporit a d- 14 mm flar sic, d 14mm 60 Let ' be di Tonu A bel ween a uestex anel s opponu utex. we Connecl all oppon uetices the dinclecl cnlo 6 hemagon es tnangles (au shoen abon). By tronyb wilaert trengte Spoandiny the Six an al They anel all are canfos henapon, draw OD 1 l6 a sich Ab, Say from me he herapon vigh toringe me OD = d 7mm a wher A ODA in OA = AE OD Sin 60 OD OA= Sinoo OA /e) ax7x2 3 28 16.1658 mmn mm 3 Ans 16.2 mm (Nok, you culol albo use to get at B AABE Tigh arylel Ths