Question

In each of the following, the length of the sides of a right triangle are given. Find the square of the hypotenuse 3 a= 7.5 cm ,b= 18 cm​

Answer 1

Step-by-step explanation:

(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.