cmi-entrance 2010 Q17

cmi-entrance · India · ugmath 8 marks Proof Proof Involving Combinatorial or Number-Theoretic Structure
(a) Show that the area of a right-angled triangle with all side lengths integers is an integer divisible by 6.
(b) If all the sides and area of a triangle were rational numbers then show that the triangle is got by 'pasting' two right-angled triangles having the same property.
(a) Show that the area of a right-angled triangle with all side lengths integers is an integer divisible by 6.\\
(b) If all the sides and area of a triangle were rational numbers then show that the triangle is got by 'pasting' two right-angled triangles having the same property.