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Given:

In .

is an altitude drawn from C to .

To prove:

bisects .

Proof:

In , is an altitude drawn from C to .

It means, are right angle triangles.

In ,

Hypotenuse :       [Given]

Leg :       [Common]

If the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then by HL postulate both triangles are congruent.

       [HL postulate]

      [CPCTC]

It means, point D is the midpoint of .

So, bisects .

Hence proved.

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step-by-step explanation:

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