you can fine the perimeter
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.
To determine if it is possible to draw a quadrilateral given four side lengths, you can use the triangle inequality theorem. The theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. If this condition is met for all combinations of three sides using the given side lengths, then it is possible to construct a quadrilateral. If the sum of the lengths of any two sides is equal to or less than the length of the third side for any combination, then it is not possible to draw a quadrilateral with those side lengths.
From that information, you can't. All you know is their sum, but you can't tell their individual lengths. There are actually an infinite number of different possibilities that all work.
The area doesn't tell you the shape of the triangle or the lengths of its sides.There are an infinite number of different triangles, all with sides of differentlengths, that all have 64 ft2 of area.
You require another piece of information. Knowing the "vertex" angle will not tell you the length of any one side. You can have a triangle the size of the continental USA with a "vertex" angle of 15 degrees and you can have a triangle invisible to the human eye with a "vertex" angle of 15 degrees. You can see how these would have different side lengths.
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 the tree sides of the triangles form a Pythagoras triplet then we can say that the angle opposite to the greatest side is a right angle.
To determine if it is possible to draw a quadrilateral given four side lengths, you can use the triangle inequality theorem. The theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. If this condition is met for all combinations of three sides using the given side lengths, then it is possible to construct a quadrilateral. If the sum of the lengths of any two sides is equal to or less than the length of the third side for any combination, then it is not possible to draw a quadrilateral with those side lengths.
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From that information, you can't. All you know is their sum, but you can't tell their individual lengths. There are actually an infinite number of different possibilities that all work.
The area doesn't tell you the shape of the triangle or the lengths of its sides.There are an infinite number of different triangles, all with sides of differentlengths, that all have 64 ft2 of area.
You require another piece of information. Knowing the "vertex" angle will not tell you the length of any one side. You can have a triangle the size of the continental USA with a "vertex" angle of 15 degrees and you can have a triangle invisible to the human eye with a "vertex" angle of 15 degrees. You can see how these would have different side lengths.
One can tell what a scalene triangle looks like by looking at each side of the triangle. A scalene triangle normally has very different length in each of its sides. It has no equal sides, and no equal angles.
If you only know the hypotenuse, you can't tell the leg lengths. There are an infinite number of possibilities. The only thing you know for sure is that the sum of their squares is 1,024. If you had one other piece of information ... the length of one leg or the size of one acute angle ... then you'd know or could calculate all 3 sides and 3 angles.
* To find the hypotenuse, take the square root of (a2 + b2). * To find either of the two shorter sides, take the square root of (c2 - b2)
One example of analogy reasoning in geometry is when you have to figure out what type of triangle a triangle is. For example, if you have a triangle with three sides and you can tell the sides are the same size, you can deduce you have an equilateral triangle, even without measuring it.
right triangle forms a 90 degree angle scalene triangle has no congruent sides isosceles triangle has at least 2 congruent sides equilateral triangle has 3 congruent sides acute triangle all angles measure less than 90 degrees and the obtuse triangle contains 1 obtuse angles.