1 Attachment(s)

Triangle Problem - Given altitude and side length

Attachment 27202

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?

Re: Triangle Problem - Given altitude and side length

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.

1 Attachment(s)

Re: Triangle Problem - Given altitude and side length

Quote:

Originally Posted by

**ongbakbak** Attachment 27202
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.

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

Re: Triangle Problem - Given altitude and side length

Thanks for the reply earboth.

I thought that it was unsolvable as well.

I was just a little confused because this question was on my math test and when I asked my teacher if it was solvable she told me that it was.

I think she may have just written a flawed question.

Anyways, I really appreciate the quick responses.