The sides of the triangle are 5 cm, 6 cm, 7 cm. Find the length of the median drawn to the middle side.
| September 9, 2021 | education
Let a = 5 cm, b = 6 cm, c = 6 cm.
The middle side of the triangle is 6 cm.Let’s find the length of the median drawn to this side by the formula:
m = (1/2) * √ (2 * 5 ^ 2 + 2 * 7 ^ 2 – 6 ^ 2) = (1/2) * √ (50 + 98 – 36) = (1/2) * √112 = (1/2) * 4√7 = 2√7 (cm).
Answer: the length of the median drawn to the middle side is 2√7 cm.
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