Two sides AB and AC of a triangle ABC are 0.6 cm and 3 cm respectively. AD is the length of the median. the third side of the triangle is of integral unit. find the length of the median AD ? A)1.8 B)1.56 C) 2 D)1.25 Share with your friends Share 5 Vijay Kumar Gupta answered this If a,b and c are sides of a triangle, the the length of medians are given by, ma2=2b2+2c2-a24where ma is length of medians to the side with lengths a.Take a=BC, b=AB=0.6 cm, c=AC=3 cm, the lengths of medians are, ma2=20.62+232-BC24 ma2=0.72+18-BC24 ma2=18.72-BC24Solve for BC as follows: 4 ma2=18.72-BC2 BC2=18.72 -4ma2 BC=18.72 -4ma2When ma=1.8, we get BC=18.72 -41.82 =18.72 -12.96 =5.76 =2.4 When ma=1.56, we get BC=18.72 -41.562 =18.72 -9.7344 =8.9856 =2.9975 approxWhen ma=2, we get BC=18.72 -422 =18.72 -16 =2.72 =1.65 approxWhen ma=1.25, we get BC=18.72 -41.252 =18.72 -6.25 =12.47 =3.53 approxSo from above, the length of the median is 1.8 cm -2 View Full Answer
