Question

Точка О – центр кола, описаного навколо прямокутного трикутника АВС ( кут С дорівнює 90 градусів),АВ = 10 см. Знайти довжину медіани, проведеної до гіпотенузи. *

Answer 1

Ответ:

решение смотри на фотографии

Answer 2

Problem Analysis

We are given a right-angled triangle ABC, where angle C is 90 degrees and AB is equal to 10 cm. We need to find the length of the median drawn to the hypotenuse.

Solution

To find the length of the median drawn to the hypotenuse, we can use the property that the median of a right-angled triangle divides the hypotenuse into two equal segments.

Let's denote the midpoint of the hypotenuse AC as point M. The median drawn to the hypotenuse will pass through point M and will be equal in length to half of the hypotenuse.

Since AB is the hypotenuse, the length of the median drawn to the hypotenuse will be half of AB.

Therefore, the length of the median drawn to the hypotenuse is 5 cm.

Conclusion

The length of the median drawn to the hypotenuse of the right-angled triangle ABC, where AB is equal to 10 cm, is 5 cm.