Let be an integer greater than

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

Problem

Let

m

be an integer greater than

1

. In triangle

ABC

, the sides are

AB = 2m

cm,

BC = m^2 - 1

cm and

AC = m^2 + 1

cm. Show that triangle

ABC

is right-angled.