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

September 20, 2021 | education

| **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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