# Coordinates and Altitude

Let A = (0,3) and B = (4,0) and AB = 5 = c

Let D be the altitude to the hypotenuse.

a) Find the coordinates of D

b) Find the lengths of AD, BD, and CD

https://brainmass.com/math/geometry-and-topology/coordinates-altitude-323433

#### Solution Preview

ABC is a 3-4-5 triangle, so angle A = 53.1 degrees, angle B = 36.9 degrees.

Since CD is the altitude, we know that it is perpendicular to AB, so angle CDB is 90 degrees.

Therefore, angle DCB is 180 - 90 - 36.9 = 53.1, then angle ACD must be 36.9 degrees.

Now, you can see that ...

#### Solution Summary

The expert finds the coordinates and length of different lengths with a hypotenuse.

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