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Are all triangles equilateral?
No.Equilateral triangles must have equal angles (all 60 degrees) and equal length sides; there are also:Isosceles triangles which have two equal angles and two equal sides;Scalene triangles which have all three sides, and hence all three angles, of different lengths;Right angled triangles (which can have all sides of different lengths, or two sides of equal length) have (as the name suggests) one right angle. This means Pythagoras and the trigonometric ratios can be used on its side lengths.
Are all equilateral triangles are congruent?
no. if one triangles sides are all 2 and one triangles sides are all 3 then they are not congruent
If 3 corresponding angles of two triangles are of equal measure are the side lengths of equal measure also?
Not necessarily. You have described "similar" triangles. If you also know that any of the lengths of sides are of equal measure in addition to three angles (congruent), then the lengths of all of the sides are of equal measure. But with what you have given, consider, for example, two equilateral triangles, both have all angles equal to 60 degrees (satisfying the condition in your question). One of the triangles could have sides length 1 and the other with sides all of length 2.
Are scalene triangles all obtuse?
No, a scalene triangle is simply a triangle where all angles are not equal and all side lengths are not equal, therefore they can or cannot be obtuse.
What is a polygon that has 3 sides and 3 angles called?
A polygon with 3 sides and 3 angles is called a triangle. Triangles are classified based on their angles and sides into different types such as equilateral (all sides and angles are equal), isosceles (two sides and angles are equal), and scalene (all sides and angles are different). Triangles play a fundamental role in geometry and have various properties and formulas associated with them.
