In a right-angled triangle, the median drawn to the hypotenuse is 12 dm. What is the hypotenuse equal to?

univerkov | February 25, 2021 | education

We describe a circle around the triangle ABC.

Angle ABC = 90, then the arc ABC = 180, and therefore the hypotenuse AC will be the diameter of the circumscribed circle. Since AM = CM, point M is the center of the circle, and the segment BM will be its radius.

Then AM = CM = BM = R = 12 cm.

AC = AM + CM = 12 + 12 = 24 cm.

Answer: The hypotenuse of the AC is 24 cm.

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