Question

identify from sides of triangle,which represent right triangle i) 3cm,4cm,6cm ii) 4cm,5cm,6cm iii)7cm,24cm,25cm iv)5cm,12cm,14cm​

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.