# What Is A Unique Triangle

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If you are given 3 sides SSS eg. 4 cm 50 6 cm.

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### The equal sides and angles may not be in the same position if there is a turn or a flip but they are there.

What is a unique triangle. What makes a tri. A two-dimensional Euclidean space. Unique triangle More than one triangle Not possible d.

An explanation of how to determine if line segments will make a triangle that is unique make no triangle or make more than one triangle. It is possible to determine that a triangle is unique if you know. 5 cm 3 cm 7 cm 2 sides and the included angle SAS eg.

Start studying Unique and Not-Unique Triangles. See Congruent for more info. Consider a triangle correspondence ABC XYZ that corresponds to two pairs of equal sides and one pair of equal non-included angles.

The word triangle is taken from the Latin word triangulus which means three-cornered. Learn vocabulary terms and more with flashcards games and other study tools. AB 10 cm BC 11cm AC 9 cm.

Unique triangle Not possible. Unique triangle More than one triangle Not possible b. In Geometry a triangle is the most important shape defined as a closed two-dimensional diagram containing 3 sides 3 angles and 3 vertices.

5 cm 3 cm 7 cm 2 sides and the included angle SAS eg. In Euclidean geometry any three non- collinear points determine a unique triangle and a unique plane. The measure of one angle and one side.

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. A triangle is a polygon with three edges and three vertices. A unique triangle means there is ONLY ONE WAY to create the triangle.

4 cm 50 6 cm. This rule must be satisfied for all 3 conditions of the sides. A triangle with vertices A B and C is denoted triangle ABC.

The sum of the internal angles that exist at the vertices always total the same number for every triangle 180 degrees or radians. What Is A Unique Triangle. The other two angles of a right-angle triangle are acute angles.

It did not matter how you rotated or flipped the triangle because all of the angles would remain the same. Unique triangle More than one triangle Not possible c. If you are given 3 sides SSS eg.

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. In simple words a triangle is a polygon with 3 sides. As you discovered as long as two of the lengths added up to be greater than the third they would form a unique triangle only one triangle could be formed.

Math Warehouses popular online triangle calculator. In other words as soon as you. The side opposite to the right angle is the largest side of the triangle and is called the hypotenuse.

Angle A 40 Angle B 60 Angle C 80. If it has a right angle. Students understand that two triangles are identical if all corresponding sides are equal under some correspondence.

A unique triangle is a triangle that can only be drawn one way. 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. In Euclidean geometry any three points when non-collinear determine a unique triangle and a unique plane ie.

Enter any valid combination of sidesangles3 sides 2 sides and an angle or 2 angle and a 1 side and our calculator will do the rest. A triangle that has one angle that measures exactly 90 0 is a right-angle triangle. AB 4cm BC 3 cm Angle B 30.

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. It is one of the basic shapes in geometry. Three side lengths of a triangle determine a unique triangle.

This condition determines two non-identical triangles. It will even tell you if more than 1 triangle can be created.

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