A triangle is a right triangle if the sum of the squares of its two smallest sides…

MATHEMATICS · Subjective · CBSE · Mathematics · The Baudhayana-Pythagoras Theorem · The Baudhayana-Pythagoras Theorem

Problem

A triangle is a right triangle if the sum of the squares of its two smallest sides equals the square of its largest side. If

n

is a positive integer, must the triangle with sides

6(10^{n+2})

1125(10^{2n+1}) - 8

, and

1125(10^{2n+1}) + 8

be a right triangle?