the length of three sides of four triangle are given below say from which triangle cannot be drawn
a 17cm,7cm,8cm. b 4cm ,8cm

1 thought on “the length of three sides of four triangle are given below say from which triangle cannot be drawn<br />a 17cm,7cm,8cm. b 4cm ,8cm”

1. Answer:

   (i) Given, a=7,cm,b=24cm and c=25cm

   c

   2

   =a

   2

   +b

   2

   [ By using Pythagoras theorem ]

   c

   2

   =7

   2

   +24

   2

   c

   2

   =49+576

   c

   2

   =625

   ∴ c=25cm

   Hence, the given triangle is right angled triangle.

   (ii) given, a=9cm,b=16cm and c=18

   c

   2

   =a

   2

   +b

   2

   [ By using Pythagoras theorem ]

   c

   2

   =9

   2

   +16

   2

   c

   2

   =81+256

   c

   2

   =337

   ∴ c=18.35cm

   Hence, the given triangle is not right angled triangle.

   (iii) given, a=1.6,cm,b=3.8cm and c=4cm

   c

   2

   =a

   2

   +b

   2

   [ By using Pythagoras theorem ]

   c

   2

   =(1.6)

   2

   +(3.8)

   2

   c

   2

   =2.56+14.44

   c

   2

   =17

   ∴ c=4.12cm

   Hence, the given triangle is not right angled triangle.

   (iv) given, a=8,cm,b=10cm and c=6cm

   b

   2

   =a

   2

   +c

   2

   [ By using Pythagoras theorem ]

   b

   2

   =(8)

   2

   +(6)

   2

   b

   2

   =64+36

   b

   2

   =100

   ∴ b=10cm

   Hence, the given triangle is right angled triangle.

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