Q6 of 53 Page 156

In ΔABC, AB = 17, BC = 15, AC = 8, find the length of the median on the largest side.

AB = 17


BC = 15


AC = 8


Let the median meet the side AB at point D


AD = 9.5


∴ CD is the median on the largest side


Applying Appoloneus theorem :


AC2 + BC2 = 2(AD2 + CD2)


⇒ 82 + 152 = 2(9.52 + CD2)


⇒ 144.5 = 90.25 + CD2


⇒ CD2 = 54.25


⇒ CD = 7.36 units


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