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Triangles are not classified by the length of their sides, but by their shapes. A right triangle, for example, is a triangle which includes one 90o angle. This is true regardless of the size of the triangle; it could have sides a thousand miles long or a thousandth of an inch long and still be a right triangle, as long as it has that 90o angle. An equilateral triangle has three sides which are all of the same length. This is true, again, regardless of the size of the triangle. The three sides could all be a million miles long, or they could be microscopic, but if they are all the same length, then the triangle is equilateral.
It would be better to ask about classifying triangles by the relative lengths of their sides.
If all the sides are different lengths, we class it as a Scalene Triangle. (Note that all three angles also are different.)
If exactly two sides have the same length we call it an Isosceles triangle (Note that two of the angles also are the same size. And try to get the spelling right!!!)
If all three sides are the same length, we call it an Equilateral triangle. (If you like you could say that it is a special case of an isosceles triangle). All three angle are the same and they always are sixty degrees each.
What else can I help you with?
Can two triangles be similar but not congruent?
Yes. The triangles have the same angle measures but different, similar side lengths. Think of two different sized equilateral triangles. One can have side lengths of 6 inches while the other has side lengths of 20 inches, but they still have congruent angles of 60 degrees. Each ratio of side lengths is equal [6/20=6/20=6/20].
How many triangles exist with the given side lengths 12 in 15 in 18 in?
There is only one.
What is the pythagorean principle?
The pythagorean principle is A squared + B squared = C squared. This is applyed when solving side lengths of triangles.
How do the ratios of side lengths compare for similar triangles?
The definition of "similar" geometric figures requires that the ratios of all equivalent sides, between the two figures, are the same. For example, one side of one triangle divided by the equivalent side of the other triangle might result in a ratio of 3.5 - in this case, if the triangles are similar, you will get the same ratio if you compare other equivalent sides.
Why can you make a triangle and how many triangles can you make with the given side legnths 3 4 and 5?
Because the sum of the smaller sides is greater than the largest side and it is possible to construct one right angle triangle with the given lengths
How do you classify a triangle with side lengths 10m 10m 12m?
I would place this triangle in the category of isosceles triangles, because the 10m side and the 10m side have equal lengths.
Are angles measured by their side lengths?
No. Angles don't have anything called a side length. However, one can use trigonometry to compute the angles of a triangle based on the side lengths of the triangle (triangles do have side lengths).
If two triangles have the same side lengths then the triangles are?
They are congruent.
What are the unknown side lengths in similar triangles PQR and ABC?
In similar triangles PQR and ABC, the corresponding side lengths maintain a constant ratio. To find the unknown side lengths, you can set up a proportion based on the known lengths of the triangles. For example, if you know the lengths of two sides from each triangle, you can solve for the unknowns by cross-multiplying and dividing. Make sure to match corresponding sides correctly to maintain the similarity ratio.
If two triangles are similar are they congruent?
no: if you have two triangles with the same angle measurements, but one has side lengths of 3in, 4in, and 5in and the other has side lengths of 6in, 8in, and 10in, then they are similar. Congruent triangles have the same angle measures AND side lengths.
You can build two triangles that have the same side lengths but are not congruent.?
No, triangles with the same side lengths are always congruent.
How many triangles exist with the given side lengths 3in 4in 2in?
How many triangles exist with the given side lengths 3in, 4in, 2in
How do you classify a triangle with 3 given side lengths?
That depends on what the side lengths are. Until the side lengths are known, the triangle can only be classified as a triangle.
What conditions will ensure that two isosceles triangles are congruent?
The triangles have the same side lengths.
Do all triangles with same side lengths have the same area?
Only if they are congruent triangles
If the corresponding side lengths of two triangles are congruent the corresponding angles are also congruent.?
False. The statement should be: If the corresponding side lengths of two triangles are congruent, and the triangles are similar, then the corresponding angles are also congruent.
Why Does pythagorean theorem don't work for non right angle triangles?
The Pythagorean theorem specifically applies to right-angled triangles because it is based on the unique relationship between the lengths of the sides in such triangles. It states that the square of the length of the hypotenuse equals the sum of the squares of the other two sides (a² + b² = c²). In non-right triangles, this relationship does not hold, as the angles and side lengths do not conform to the theorem's criteria. Instead, the Law of Cosines is used for non-right triangles to relate their side lengths and angles.
