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Q: What is the rule for the legs of all triangles?
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Are some right triangles are also equilateral triangles?

No because all right triangles have 2 legs and a hypotenuse. The hypotenuse is always longer than either leg so right triangles can't be equilateral triangles.


Can The law of cosines can only be applied to right triangles?

Cosine Rule: a2 = b2+c2-2bc*cos A is applicable to all triangles


What sort of triangles does pythagoras's rule work in?

Right angled triangles.


What shape has three different sized sides?

A three-sided shape is called a triangle. There are three types of triangles: equilateral triangles, iscosceles triangles, and scalene triangles. Equilateral triangles have all equal sides and angles; iscosceles triangles have two congruent legs and a base, and scalene triangles do not have any equal sides or angles.


How many degrees is an iscoseles triangle?

The answer is still 180 degrees as all triangles are 180 degrees. Its a rule


The LL theorem states that for right triangles two congruent what are sufficient to prove congruence of the triangles?

LEGS


Some equilateral triangles are not isosceles?

All isosceles triangles are not equilateral triangles


Are the sides of right triangles also called legs?

yes they are!


The area of right triangles with legs 2 and 2?

the answer is 4


Is it is necessary to be a right angle triangle to use sine rule?

No. Sine rule (and cosine rule) apply to all triangles in Euclidean space (plane geometry). A simplification occurs when there is a right angle because the sine of the right angle is 1 and the cosine is 0. Thus you get Pythagoras theorem for right triangles.


How do you find both legs of a triangle with only the hypotenuse?

You can't. The hypotenuse alone isn't enough to tell you anything about the lengths of the legs. There are an infinite number of different right triangles that all have the same hypotenuse but different legs.


Are all equilateral triangles acute triangles?

Yes all equilateral triangles are acute triangles, but not all acute triangle are equilateral triangles.