Question

two sides of a triangle are of length 4 cm and 2.5 CM the length of the third side of the triangle cannot be
a). 6cm
b). 6.5cm
c). 5.5cm
d). 6.3cm​

Answer 1

Answer:

The third side cannot be 6.5 cm.

Step-by-step explanation:

The length of the third side of the triangle cannot be. ... Sum of two sides must be greater than the third side. So, the third side cannot be 6.5 cm.

Hope it helps you.......

Answer 2

Solution :-

We know that, In any ∆ we have,

• Sum of any two sides of a ∆ is always greater than the third side .
• Difference between any two sides of a ∆ is always smaller than the third side .

given that, two sides of given ∆ are 4 cm and 2.5 cm .

Let us assume that, the third side of the ∆ is equal to a cm .

So,

→ 4 + 2.5 > a

→ 6.5 > a

also ,

→ 4 - 2.5 < a

→ 1.5 < a

then,

→ 1.5 < a < 6.5

Conclusion :- a is greater than 1.5 cm and smaller than 6.5 cm .

checking given option now we get,

a) 6 cm

as we can see that,

→ 1.5 < 6 < 6.5

therefore, given length of a is possible .

b) 6.5 cm

as we can see that,

→ 1.5 < 6.5 = 6.5

therefore, given length of a is not possible .

c) 5.5 cm

as we can see that,

→ 1.5 < 5.5 < 6.5

therefore, given length of a is possible .

d) 6.3

as we can see that,

→ 1.5 < 6.3 < 6.5

therefore, given length of a is possible .

Hence, the length of the third side of the triangle cannot be equal to (b) 6.5 cm .

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