The lengths of the sides of the triangle are 11 cm 12 cm and 13 cm Find the length of the median drawn

The lengths of the sides of the triangle are 11 cm 12 cm and 13 cm Find the length of the median drawn to the larger side of the triangle.

In order to calculate the median, it is enough to know the formula m = 1/2 square root (2 a ^ 2 + 2 b ^ 2 – c ^ 2), where a, b, c are the sides of the triangle. => m = 1/2 square root (2 * 11 ^ 2 + 2 * 12 ^ 2 – 13 ^ 2) = 1/2 square root (2 * 121 + 2 * 144 – 169) = 1/2 square root ( 242 + 288 – 169) = 1/2 square root of 361 = 1/2 * 19 = 19/2 = 9.5 => m = 9.5



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