Question

D
E
2 cm
5cm
4 cm
H
С C
7cm
F
4 cm
6.5cm G
B.
2 cm
А​

Answer 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.