In a right-angled triangle ABC, the angle is C = 90 *, CM is the median. Find CM if side AB = 10.
| August 4, 2021 | education
On the CM beam, set aside the MD segment equal to CM and connect point D with points A and B.
By condition, AM = ВM, since CM is the median, CM = DM by construction, then ADBC is a parallelogram, and since the angle is C = 90, then ADBC is a rectangle.
The diagonals of the rectangle are equal and at point M are divided in half, AB = CD, CM = CD / 2 = AB / 2 = 10/2 = 5 cm.
Answer: The median length is 5 cm.
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