Question

Determine which three lengths can be the measure of the sides of a triangle.

a) 14cm, 3cm, 18cm

b) 9cm, 7cm, 15cm

c) 2cm, 14cm, 18cm

d) 6cm, 9cm, 15cm

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Answer 1

$\huge\mathscr\pink{♡answer♡}$

$\huge\mathscr\red{♡hloo♡}$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.

Answer 2

Option B follows all the rules of inequality triangle thats why option B is correct.

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