Segment BM median hypotenuse ABC with right angle B. Find AC if BM = 6cm.

It is known from the condition that the segment BM is the median drawn to the hypotenuse of the right-angled triangle ABC with right angle B.

We also know that the length BM = 6 cm. And you need to find the length of the hypotenuse AC.

To solve the problem, we apply the following property of the median drawn to the hypotenuse of a right triangle.

Let’s recall the property. It says that in a right-angled triangle, the median drawn to the hypotenuse is equal to half the hypotenuse.

That is, if BM is the median, then AC = 2 * BM = 2 * 6 = 12 cm.