In a right-angled triangle, the hypotenuse is 60 cm. Find the median drawn to the hypotenuse.

Let in the triangle ABC, CO be the median drawn to the hypotenuse AB, <C = 90 °. Let’s extend the CO median by an amount equal to CO = OD. We get a rectangle ABCD. In any rectangle of the diagonal AB = CD.

Median CO = 1/2 * CD = 1/2 * AB = 1/2 * 60 cm = 30 cm.

In addition, you can apply the property of the median in a right-angled triangle, drawn from a right angle, which is equal to half of the hypotenuse.

Answer: median CO = 30 cm.



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