A triangle has two sides of lengths units and units.
MATHEMATICS · Multi-part · CBSE · Mathematics · The Baudhayana-Pythagoras Theorem · The Baudhayana-Pythagoras Theorem
Problem
A triangle has two sides of lengths 8 units and 17 units.
(i) Determine the integral length of the third side so that the three numbers form the sides of a right-angled triangle.
(ii) List every integral Pythagorean triple whose hypotenuse is 17 and justify that no other integral triple with hypotenuse 17 exists.