Question

Suppose a and b are any two natural numbers. If a^4+ b^4 a²b^2, a^4 - b^4 are the three sides of triangles, then show that it is a right angled triangle (a > b) ​

Answer 1

Step-by-step explanation:

We can observe,considering general numbers for right angled triangle,

5

2

=3

2

+4

2

(5, 3 are odd and 4 lies between 5, 3)

and 13

2

=5

2

+12

2

(5, 13 are odd and 12 lies between 5, 13)

By trial and error

61

2

=60

2

+11

2

Since (61, 11 are odd and 61 hypotenuse)

61−11=50

Hence, option 'B' is correct.