Are you curious to know what is a unique triangle? You have come to the right place as I am going to tell you everything about a unique triangle in a very simple explanation. Without further discussion let’s begin to know what is a unique triangle?
What Is A Unique Triangle?
A unique triangle is a term used in mathematics to refer to a specific type of triangle that has certain properties that set it apart from other triangles.
A triangle is a polygon with three sides and three angles. A triangle is considered unique if it has one or more properties that are not shared by any other triangle. For example, a triangle could be considered unique if it has a specific angle measure or a specific side length.
One example of a unique triangle is the right triangle, which is a triangle that has one angle that measures exactly 90 degrees. This makes the right triangle unique because it is the only triangle that has one angle that measures exactly 90 degrees.
Another example is the isosceles triangle, which is a triangle that has two sides that are equal in length. This makes the isosceles triangle unique because it is the only triangle that has two sides that are equal in length.
A third example is the equilateral triangle, which is a triangle that has all three sides of equal length. This makes the equilateral triangle unique because it is the only triangle that has all three sides of equal length.
A fourth example is a scalene triangle which is a triangle that has no equal sides or angles.
In summary, a unique triangle is a term used in mathematics to refer to a specific type of triangle that has certain properties that set it apart from other triangles. Some examples of unique triangles include right triangles, isosceles triangles, equilateral triangles, and scalene triangles, which have specific properties that make them different from other triangles.
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FAQ
What Makes A Unique Triangle?
A “unique triangle” is a triangle for which there is no other triangle that has the same dimensions and shape. Duplicates of such triangles will all be congruent to one another. The word “unique” means “being the only one of its kind”.
What Is A Unique Triangle Example?
- b) A unique triangle can be drawn with sides AB = 10 cm, BC = 11 cm and AC = 9 cm (with Angle A = 71°, Angle B = 50° and Angle C = 59°). In general, a unique triangle may always be drawn if three side lengths are given and the sum of any two is greater than the third.
What Is A Unique Triangle For Class 7?
A unique triangle can be formed if: you are given two sides and the angle between these sides (SAS) you are given three sides and the sides satisfy the triangle inequality theorem (SSS) you are given two angles that do not add to more than 180∘ and the side between these angles (ASA)
How Do You Know If A Triangle Is Unique Or Not?
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 Creates A Unique Triangle?
Given sides: If the sum of the two shorter sides is greater than the longest side, there is one, unique triangle. Given angles: There are no unique triangles when given all three angles.
How Many Unique Triangles Can You Make?
one triangle
You can only draw one triangle, so the triangle is unique. If you can actually form a triangle with the given two side lengths and the angle measure of an angle that is not included, you can get more than one triangle. There are cases however, as with an isosceles triangle, that you will get a unique triangle.
What Are The Types Of Unique Triangle?
The six types of triangles are: isosceles, equilateral, scalene, obtuse, acute, and right. An isosceles triangle is a triangle with two congruent sides and one unique side and angle.
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