Triangle ABC has side lengths 9 cm, 40 cm and 41 cm
MATHEMATICS · Multi-part · CBSE · Mathematics · The Baudhayana-Pythagoras Theorem · The Baudhayana-Pythagoras Theorem
Problem
Triangle ABC has side lengths 9 cm, 40 cm and 41 cm. A student wishes to decide whether the triangle contains a right angle but is unsure how to begin.
(i) Explain, with reason, which of the three given side lengths must be examined first when checking whether triangle ABC is right-angled using only the side lengths.
(ii) Write the mathematical condition involving the squares of the three side lengths that must hold true for triangle ABC to be right-angled.
(iii) Without performing any calculation, state at which vertex the right angle would lie if the condition written in part (ii) is satisfied.