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A triangle formed from three given side lengths can be either unique or non-unique depending on the specific lengths. If the triangle inequality theorem is satisfied (the sum of the lengths of any two sides must be greater than the length of the third side), then only one unique triangle can be formed. However, if the side lengths are such that they can form a degenerate triangle (where the sum of two sides equals the third), or if two sides are equal and the third side allows for more than one valid configuration (as in some cases with isosceles triangles), more than one triangle can potentially be formed. In general, for three distinct side lengths that satisfy the triangle inequality, only one triangle exists.
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How do you know if you can make more that one triangle?
To determine if you can make more than one triangle with a given set of side lengths, you can use the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the remaining side. If the side lengths meet this condition, you can form a triangle, but if the side lengths are the same (like in the case of an equilateral triangle), only one unique triangle can be formed. Additionally, if the angles are not specified and the side lengths allow for different arrangements, multiple triangles may be possible.
How many triangles exist with the given side lengths?
Exactly one unique triangle exists with the given side lengths.thank u...
How can you tell when a triangle is a unique triangle?
A triangle is unique when the given conditions (such as side lengths or angle measures) lead to only one possible triangle configuration. For example, using the Side-Side-Side (SSS) or Side-Angle-Side (SAS) postulates guarantees a unique triangle. In contrast, conditions like Angle-Angle-Side (AAS) or Angle-Side-Angle (ASA) also yield a unique triangle, while three angles alone may not, as they can correspond to multiple triangle sizes.
Can you use Trigonometry if you only know the sides of the triangle?
Do you mean you know the lengths of the sides but you don't know the size of any of the angles ? If that's the situation, then yes. The lengths of the sides tell you everything about the triangle, and they define one and only one unique triangle. With a little bit of trig, you can figure out what the size of each angle has to be.
If a triangle has no equal sides and no equal angles what is it called?
A triangle with no equal sides and no equal angles is called a scalene triangle. In a scalene triangle, all three sides are of different lengths and all three angles are of different measures. This type of triangle does not have any symmetry and each side and angle is unique.
How do you know if you can make more that one triangle?
To determine if you can make more than one triangle with a given set of side lengths, you can use the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the remaining side. If the side lengths meet this condition, you can form a triangle, but if the side lengths are the same (like in the case of an equilateral triangle), only one unique triangle can be formed. Additionally, if the angles are not specified and the side lengths allow for different arrangements, multiple triangles may be possible.
How many triangles exist with the given side lengths?
Exactly one unique triangle exists with the given side lengths.thank u...
How many triangles exist with the given side lengths 7 in 7 in 7 in?
More than one unique triangle exist
How can you tell when a triangle is a unique triangle?
A triangle is unique when the given conditions (such as side lengths or angle measures) lead to only one possible triangle configuration. For example, using the Side-Side-Side (SSS) or Side-Angle-Side (SAS) postulates guarantees a unique triangle. In contrast, conditions like Angle-Angle-Side (AAS) or Angle-Side-Angle (ASA) also yield a unique triangle, while three angles alone may not, as they can correspond to multiple triangle sizes.
What kind of triangle are you 3cm 5cm 3cm?
The triangle with side lengths of 3cm, 5cm, and 3cm is classified as a scalene triangle. A scalene triangle is a triangle in which all three sides have different lengths. In this case, the three sides have lengths of 3cm, 5cm, and 3cm, making it impossible for the triangle to have any congruent sides or angles.
Can you use Trigonometry if you only know the sides of the triangle?
Do you mean you know the lengths of the sides but you don't know the size of any of the angles ? If that's the situation, then yes. The lengths of the sides tell you everything about the triangle, and they define one and only one unique triangle. With a little bit of trig, you can figure out what the size of each angle has to be.
How many triangles exist with side length of 12in 15in 18in?
More than one unique triangle exists with the given side lengths.
If a triangle has no equal sides and no equal angles what is it called?
A triangle with no equal sides and no equal angles is called a scalene triangle. In a scalene triangle, all three sides are of different lengths and all three angles are of different measures. This type of triangle does not have any symmetry and each side and angle is unique.
Does a triangle with 3 ft and 4 ft sides and a non-included angle of 70 degrees make a unique triangle please explain how you got your answer?
No, it does not make a unique triangle since the 70 degree angle could be at the end of the 3 ft side or the 4 foot side.
How many pairs of parallel sides does a scalene triangle have?
A scalene triangle has zero pairs of parallel sides. In a scalene triangle, all three sides are of different lengths, and there are no sides that are equal or parallel to each other. Each angle is also unique, contributing to its distinct shape.
A triangle that has a short side of 6mm another side of 7mm the third side is 12mm what kind of triangle is this?
Well, honey, with those side lengths, you've got yourself a scalene triangle. That means all three sides are different lengths, just like a box of chocolates - you never know what you're gonna get! So, go ahead and flaunt your unique triangle, it's one of a kind!
What is the measure of a unique triangle?
Every triangle is unique, so this question cannot have a serious answer.
