Question

which of the following set of numbers forms a right angle
a)5cm,13cm,15cm
b)10cm,12cm,13cm
c)7cm,24cm,25cm
d)5cm,6cm,7cm​

Answer 1

Answer:

(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.

Step-by-step explanation:

hope that helps you very difficult to answer that