# Prove the following statement. Let ABC be any right triangle, the right angle at point C. The altitude drawn from C to the hypotenuse splits the triangle into two right triangles that are similar to each other and to the original triangle?

##### 1 Answer

May 23, 2018

See Below.

#### Explanation:

According to the Question,

**Proof:**

Let's Assume that

So,

Now,

So,

In

Similarly,

Now, In

and

So, by **AA Criteria of Similarity**,

Similarly, We can find,

From that,

Hope this helps.