Thread: Triangle Problem - Given altitude and side length

1. Triangle Problem - Given altitude and side length

The length of the side is 30 and the altitude of the triangle is 40.
I can't seem to solve for x. I would know how to solve it if it were a right triangle. Then I could use the geometric mean theorem to solve it, however this is not the case. Any thoughts?

2. Re: Triangle Problem - Given altitude and side length

This page might be useful to you: Geometry: Altitude to the Hypotenuse

3. Re: Triangle Problem - Given altitude and side length

Thanks so much for the quick reply.
This page is assuming that the triangle is a right triangle though.
In my case there is no information given whether the triangle is actually a right triangle or not.

4. Re: Triangle Problem - Given altitude and side length

Originally Posted by ongbakbak

The length of the side is 30 and the altitude of the triangle is 40.
I can't seem to solve for x. You are not alone!
I would know how to solve it if it were a right triangle. Then I could use the geometric mean theorem to solve it, however this is not the case. Any thoughts?
You need to know 3 parts of a triangle to determine any other piece of it.

The angle marked x has a value between 180° and 0°. See attachment.

5. Re: Triangle Problem - Given altitude and side length

whoops, my mistake. what I liked about the page was the discussion on similar triangles. I'm looking for properties of altitudes online since it's been a while I've been in geometry