In a right triangle abc, cd is an altitude, such that ad=bc. find ac, if ab=3 cm, and cd= 2 cm.

The length of AC will be 2.5495.... cm.

Explanation

In the diagram below, ABC is a right angle triangle with altitude as CD.

So, triangle ADC will be also a right angle triangle, in which CD = 2 cm.

In triangle ADC, using Pythagorean theorem we will get.....

Now in triangle ABC, using Pythagorean theorem.....

As it is given that  AD = BC , so from equation (1) and (2) we will get.....

So, the length of AC will be 2.5495.... cm.

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