Yes the given dimensions complies with Pythagoras' theorem for a right angle triangle.
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As given 51213 is just a number. However, a triangle with sides 5, 12, & 13, forms a classic Pythagorean right angled triangle.
Unless it is a right isosceles triangle, a normal right triangle has no pairs of equal sides.
Yes
It is the right angle triangle which has 3 sides whereas all quadrilaterals have 4 sides.
with the three sides you know it will be a triangle, it is a right triangle, it is not an equilateral triangle or an isosceles triangle... so it must be a right scalene triangle