# im.g.2.11.2 Dare to be (

- Author:
- mark vasicek, Tim Brzezinski

## Instructions

Make a triangle using the given angle and side lengths so that the given angle is NOT between the two given sides. Try to make your triangle different from the triangles created by others.
* Angle: 40 degrees
* Side length: 6 cm
* Side length: 9 cm

In a triangle, suppose we know the lengths of 2 of its sides and a the measure of one angle not included between those sides. If this angle is ACUTE, then there 3 possibilities:
a) No Triangle Exists
b) Only 1 Triangle Exists
c) 2 Triangles Exist
Interact with this resource for a few minutes.
Given that red angle

*A*(below) always remains acute, what causes (a) to occur? What causes (b) to occur? What causes (c) to occur?## By Tim Brezinski

## Attribution

Illustrative Mathematics. geometry. unit 2. Lesson 11. Side-Side-Angle (Sometimes) Congruence
https://im.kendallhunt.com/HS/teachers/2/2/11/index.html
Licensed under the Creative Commons Attribution 4.0 license,
https://creativecommons.org/licenses/by/4.0/