A right triangle is a triangle that has one 90 degree angle, and 2 other angles.
Some special ones are 45-45-90, and 30-60-90.
The sum of the angles in a triangle will always = 180 degrees.
Since we know a triangle has 3 angles, and in particular, a right triangle has a 90 degree angle. We can say 180 degrees - 90 degrees = the other 2 angles.
Add the other 2 angles in your triangle. Usually one is given as 90 degrees, or has a small square mark in the corner of the triangle to indicate that it is a right triangle.
Once you add the other 2 angles, see if they add up to 90 degrees.
If they do, you have a right triangle.
If they do not, you either do not have a right triangle OR your triangle is broken and all 3 angles do not add up to 180 degrees.
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If they are a Pythagorean triple then they will form a right angle triangle
A triangle with three equal sides and three equal angles is called an equilateral triangle.
A triangle cannot have more than one right angle, which measures 90o. The sum of all three angles in a triangle must equal 180o.
An acute triangle leans to the right but an equilateral triangle is wide and straight. An acute angle has three inside angles all of which are smaller than 90 degrees, which adds up to 180 degrees of course, and the sides are not necessarily equal. An equilateral triangle has three sides which are equal and each inside angle = 60 degrees (that is all three of them are the same angle automatically). Sides are equal or angles are equal = equilateral triangle.
A triangle with 3 equal sides also must have three equal angles; this is called an equilateral triangle.