Triangle ABC (angle C = 90 degrees), a = 4 cm, b = 5 cm. Find the median drawn to the hypotenuse
| June 19, 2021 | education
Since the triangle ABC is rectangular, then by the Pythagorean theorem, we determine the length of the hypotenuse AB.
AB ^ 2 = BC ^ 2 + AC ^ 2 = 16 + 25 = 42.
AB = √41 cm.
In a right-angled triangle, the median drawn from the vertex of the right angle to the hypotenuse is half the length of the hypotenuse.
CD = AB / 2 = √41 / 2 cm.
Answer: The length of the median drawn to the hypotenuse is √41 / 2 cm.
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