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Can a right angle triangle ever be equilateral?
No it can't. The hypotenuse of a right triangle will always be longer than either one of the other two sides.
Does a right triangle have two sides that are the same length?
In can, but it doesn't have to. Triangles can be either isosceles or scalene.
What triangle has no sides the same length?
A right triangle.
What right triangle has legs of equal length?
A right-angled triangle can be an Isosceles Triangle, but NOT an equilateral triangle. An Isosceles triangle has two sides of equal length. They form the 90 degree (right angle). The hypotenuse is opposite the right angle, and is longer than the other two sides.
Find the lengths of the side of the right triangle if the longest side of the triangle is four more than the shortest side and the middle side is two more than the shortest side?
There is no such right triangle. You have defined the relationship between three sides of a triangle that does not have a 90 degree angle. In a right triangle the sum of the squares of the shorter sides equals the square of the longest side and 12 + 22 = 5 ; 42 = 16 it does not equal 5 The angles in a triangle with sides 1, 2, 4 units can be found by applying the cosine rule.
