Question

1. The sides of certain triangles are given below.
Determine which of them are right triangles.
In case of a right triangle, write the length of
its hypotenuse
(i) 8 cm, 15 cm, 17 cm
(11) 9 cm, 11 cm, 6 cm
(iii) (a -- 1) cm, 2 J2 a cm, (a + 1) cm
(iv) (2a-1) cm, 2/2 a cm, (2a +1) cm
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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.