1. ## Isosceles triangle question

Is it possible to find the 2 congruent sides of an isosceles triangle given only the non-congruent side?
I am working on a project and have found that I need to create an isosceles triangle to complete the piece and I know how wide the "base" (so to speak) will be I just need to create the two congruent sides. Help please? Thank you!

2. Hello, carlotta!

Did you make a sketch? . . . I guess not.

Is it possible to find the 2 congruent sides of an isosceles triangle
given only the non-congruent side?
Code:
                                  *

* *

*                     *   *
* *
*   *                  *     *
*     *
* * * * *               * * * * *
: - 5 - :               : - 5 - :

A Christmas tree is 5 feet wide at the base.
. . How tall is the tree?

3. I am working with a piece of fabric, I have altered the length of a piece which was a triangular end which extends past the bottom of the other pieces. It is hard to explain without a visual aid but if you isolate the "triangle" I decreased the size of the base and I need to adjust the size of the rest of the triangle accordingly and I am having some difficulty doing so. But I found while writing this that there is a much easier way to solve my problem which would be by finding out how much i decreased the base by from each side then applying that same difference to the remainder of the triangle. Sometimes I just don't think hard enough about things.

4. You can if you know the interior angles...