Question

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

Answer 1

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