Three side lengths can form a triangle if they satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the third side. This must hold true for all three combinations of the side lengths. For example, if the side lengths are (a), (b), and (c), then (a + b > c), (a + c > b), and (b + c > a) must all be true. If any of these conditions are not met, the side lengths cannot form a triangle.
The study is called trigonometry.
Yes normally, a scalene triangle is an example.
No, you do not need to know all the side lengths and angle measures to solve a triangle. You can solve a triangle using various methods, such as the Law of Sines or the Law of Cosines, if you have sufficient information, like two angles and one side (AAS or ASA), or two sides and the included angle (SAS). Additionally, having all three side lengths (SSS) is also enough to determine the triangle's angles.
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That depends on what the side lengths are. Until the side lengths are known, the triangle can only be classified as a triangle.
Three side lengths can form a triangle if they satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the third side. This must hold true for all three combinations of the side lengths. For example, if the side lengths are (a), (b), and (c), then (a + b > c), (a + c > b), and (b + c > a) must all be true. If any of these conditions are not met, the side lengths cannot form a triangle.
Yes normally, a scalene triangle is an example.
The study is called trigonometry.
To find side lengths on a triangle, you need to know at least one of the sides. The possible combinations for solving* a triangle are: side, side, side; side, angle, side; angle, side, angle; angle, side, longer side. *To solve a triangle is to find the lengths of all the sides and the measures of all the angles.
No, you do not need to know all the side lengths and angle measures to solve a triangle. You can solve a triangle using various methods, such as the Law of Sines or the Law of Cosines, if you have sufficient information, like two angles and one side (AAS or ASA), or two sides and the included angle (SAS). Additionally, having all three side lengths (SSS) is also enough to determine the triangle's angles.
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3 inches, an equilateral triangle has equal side lengths and angle measures
By using trigonometry that is applicable to a right angle triangle.
Too broad of a question... What measure are you talking about? angles? side lengths?
The height of a triangle alone is not enough information to find the perimeter. You need some angle measures or side lengths.
Relationship between the lengths and the measures of angles are related to theorems like the opposite side of the largest angle is the largest side two equal angles oppositee sides are also equal