Yes
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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.
The area
pi/2 radians.
yes.the property of right angled triangle is that the square of the hypotenuse is equal to the sum of other two sides thus (5*5)+(12*12)=169=(13*13)
No and indeed not any kind of triangle.