Which one of the following number triplet cannot represent the length units of the sides of a triangle?
A ). (5,2,2)
B ) . (3,4,5)
C ) . (5,12,13)
D ) .(4,7,8)
Answers
Answer:
a) (5, 2, 2)
Step-by-step explanation:
According to length property of a triangle, sum of two sides of a triangle is greater than the third side.
a) 2 + 2 = 4
4 < 5 (not a triangle)
b) 3 + 4 = 7
7 > 5 (it is a triangle)
c) 5 + 12 = 17
17 > 13(it is a triangle)
d) 4 + 7 = 11
11 > 8 (it is a triangle)
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Answer:
(a) (5,2,2)
Sol: We know that ,
The sum of the lengths of any two sides of a triangle is
greater than third side.Here, 5cm+2cm =7 cm > 2cm
2cm + 2cm = 4cm < 5cm
So ,
The triangle with sides 5cm ,2cm and 2cm is not
possible.
(b) (3,4,5)
Sol: We know that ,
The sum of the lengths of any two sides of a triangle is
greater than third side.
Here, 3cm+4cm =7 cm > 5cm
4cm + 5cm = 9cm > 3cm
5cm + 3cm = 8cm >4cm
So ,
The triangle with sides 3cm ,4cm and 5cm is possible.