Possible response: **Condition 6** does not determine a unique triangle because the condition of two sides and an acute non-included angle determines two possible triangles when the side adjacent to the angle is longer than the side opposite the angle.

## What does not determine a unique triangle?

**A triangle drawn under the condition of two sides and a non-included angle, where the angle is acute**, does not determine a unique triangle. … A triangle drawn under the condition of two sides and a non-included angle, where the angle is 90° or greater, does determine a unique triangle.

**Is AAA a unique triangle?**Knowing only angle-angle-angle

**(AAA) does not work**because it can produce similar but not congruent triangles. … Because there are 6 corresponding parts 3 angles and 3 sides, you don’t need to know all of them.

**Which theorem does determine a unique triangle?**

corresponding sides are equal under some correspondence; **two angle measurements and a given side length of a triangle** determine a unique triangle. two angles and included side condition and (2) the two angles and the side opposite a given angle condition.

**Is SSA a unique triangle?**

Given triangular parts SSS, ASA or AAS always guarantees a single, unique triangle. Given the triangular parts SSA, however, is different and leaves the triangle unclear, or ambiguous. … Hence, **there are no possible triangles** and nothing to solve for.

### How many unique triangles can make?

With this information, **one unique triangle can be made**. Sometimes, two or more different triangles can be made with three given measures. For example, here are two different triangles that can be made with an angle measuring and side lengths 6 and 8. Notice the angle is not between the given sides. You may also read,

### Is there an AAA Theorem?

may be reformulated as the AAA (angle-angle-angle) similarity theorem: **two triangles have their corresponding angles equal if and only if their corresponding sides are proportional**. Check the answer of

### What does a unique triangle look like?

A unique triangle will be produced if you are given: all three sides (Side-Side-Side) **two sides and the included angle** (Side-Angle-Side) two angles and the included side (Angle-Side-Angle)

### What does a unique triangle mean?

A unique triangle means **there is ONLY ONE WAY to create the triangle**. All unique triangles are congruent (the same) even though you may have to “flip” or “turn” them to line up. Criteria For A Unique Triangle. Read:

### Does a triangle with side lengths of 15 12 and 9 exist?

Therefore yes, it is a **right triangle**.

### What are the 5 triangle congruence theorems?

There are five ways to find if two triangles are congruent: **SSS, SAS, ASA, AAS and HL**.

### Why is there no SSA postulate?

What about SSA (Side Side Angle) theorem? … The ASS Postulate does not exist **because an angle and two sides does not guarantee that two triangles are congruent**. If two triangles have two congruent sides and a congruent non included angle, then triangles are NOT NECESSARILLY congruent.

### How do you tell if there are two triangles?

Once you find the value of your angle, **subtract it from 180°** to find the possible second angle. Add the new angle to the original angle. If their sum is less than 180°, you have two valid answers. If the sum is over 180°, then the second angle is not valid.

### Can you make 2 different triangles with the same 3 side lengths?

Side-side-side (SSS) is one of those congruence theorems in geometry class that proves if two triangles have the same side lengths, they are congruent triangles. Therefore, **there can only be one unique triangle formed by a set of three line segments**. … So if it is possible to form the triangle, there can be only one.

### How many different triangles are there?

To learn about and construct the **seven types** of triangles that exist in the world: equilateral, right isosceles, obtuse isosceles, acute isosceles, right scalene, obtuse scalene, and acute scalene. Geometry Sticks.