The diameter of a circle circumscribed about a right-angled triangle is 18cm.
| February 24, 2021 | education
The diameter of a circle circumscribed about a right-angled triangle is 18cm. Find the length of the median drawn from the vertex of this triangle.
Let’s use the property of a circle circumscribed around a right-angled triangle: If a circle is circumscribed around a right-angled triangle, then its center is the midpoint of the hypotenuse of the triangle.
Then the median OС, drawn from the vertex of the right angle, will be the radius of the circumscribed circle.
CA = OA = OB = AB / 2 = 18/2 = 9 cm.
Answer: The median length of the triangle is 9 cm.
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