In a right triangle,Prove that the line-segment joining the mid-point of the hypotenuse to the opposite vertex is half the hypotenuse

Explanation

To prove that the line segment joining the midpoint of the hypotenuse to the opposite vertex is half the hypotenuse in a right triangle, we will follow these steps:

### Step 1: Identify the Triangle and Midpoint
Let triangle ABC be a right triangle with the right angle at B. Let D be the midpoint of the hypotenuse AC.

### Step 2: Extend the Segment
Extend the line segment BD to a point E such that BD = DE. Now, we have two segments: BD and DE which are equal.

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