Question

Given right triangle

�
�
�
ABC with altitude
�
�
‾
BD
drawn to hypotenuse
�
�
‾
AC
. If
�
�
=
6
BD=6 and
�
�
=
12
,
DC=12, what is the length of
�
�
‾
?
AD
?

Answer 1

I hope this is what your asking.

The length of AD (BD) is 12 units

Explanation:

To find the length of AD, we can use the property of similar triangles. In a right triangle, when an altitude is drawn to the hypotenuse, it creates two smaller triangles that are similar to the original right triangle.

Let's label the length of AD as x.

By the similarity property, we can set up the following proportion:

(Length of BD) / (Length of AB) = (Length of AD) / (Length of AC)

Plugging in the given values:

6 / 6 = x / 12

Now, solve for x:

x = (6 * 12) / 6

x = 12