In a triangle

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

Problem

In a triangle, the longest side has length

c

and the other two sides have lengths

a

and

b

where

c^2 = a^2 + b^2

. Explain, in one or two sentences, why the angle opposite side

c

must be

90^\circ