Activity to verify Angle bisector property or theorem

Activity: In a triangle ABC, AB= 5 CM, BC = 8 CM, AC = 7 CM. Angle B = 60 degrees. Bisect angle B. Let ray BD bisect angle B such that A-D-C I suggest to use this triangle for verifying the angle bisector property/theorem. Advantage: 60 degrees angle can be easily bisected , even with protractor. Approximately AD = 2.7 CM ; DC = 4.3 CM Students should know tables upto 30, so they can divide by 27. Make it AD/DC= 4.3/2.7=43/27 Another thing I teach them is approximation. 43 can be approaximated to 43.2 Since 27 is divisible by 3, and since sum of three consecutive number is always divisible by 3. Therefore we put 43.2. Now divide numerator and denominator by 3. AD/DC=14.4/9=1.6 Some sharp students may ask why not 43.5 since 5,4,3 are also consecutive three numbers? then you have to reply 43.5 = 44 where as 43.2 will be equal to 43 as per approximation rule.