In the triangle ABC, the lengths of the three sides are a, B, C, a = n ^ 2-1, B = 2n, C = n ^ 2 + 1 (n is an integer greater than 1). Which side is right

In the triangle ABC, the lengths of the three sides are a, B, C, a = n ^ 2-1, B = 2n, C = n ^ 2 + 1 (n is an integer greater than 1). Which side is right

A ^ 2 = n ^ 4 + 1-2n ^ 2, B ^ 2 = 4N ^ 2, C ^ 2 = n ^ 4 + 1 + 2n ^ 2. In a right triangle, according to the Pythagorean theorem, there is a ^ 2 + B ^ 2 = C ^ 2, and C is the side opposite the right angle. In the above question, there is a ^ 2 + B ^ 2 = C ^ 2, so the side opposite C is a right angle

The length a, B, C of three sides of triangle ABC are all integers, and a is greater than B, greater than C, a = 8. How many triangles satisfy the condition? Why?

There are nine triangles satisfying the condition
8 7 6
8 7 5
8 7 4
8 7 3
8 7 2
8 6 5
8 6 4
8 6 3
8 5 4

AB = ad, angle 1 = angle 2, is triangle ABC congruent with triangle ADC? Is triangle BEC congruent with triangle dec? Please explain the reason!

It's impossible. All conditions are not enough