Sides of triangles are given below. Determine which of them are right triangles. In case of a right triangle, write the length of its hypotenuse. (i) 7 cm, 24 cm, 25 cm (ii) 3 cm, 8 cm, 6 cm (iii) 50 cm, 80 cm, 100 cm (iv) 13 cm, 12 cm, 5 cm

(i)Since,(25)2=(7)2+(24)2⇒625=49+576⇒625=625Hence,7cm,24cmand25cmare the sides of Right Angled Triangle and its Hypotenuse is25cm(ii)Since,(8)2≠(3)2+(6)2⇒64≠45Hence,8cm,6cmand3cmdo not form Right Angled Triangle (iii)Since,(100)2≠(50)2+(80)2⇒10000≠8900Hence,100cm,50cmand80cmdo not form Right Angled Triangle (iv)Since,(13)2=(12)2+(5)2⇒169=144+25⇒169=169Hence,13cm,12cmand5cmare the sides of Right Angled Triangle and its Hypotenuse is13cm.