Question

The sides of a triangle have lengths (in cm) 10, 6.5 and a, where a is a whole number. The minimum value that a can take is
options.. (6) , (5), (4), (3)​

Answer 1

Answer:

4

Step-by-step explanation:

According to triangle inequality

= sum of two sides of a triangle should be greater that third side

Therefore,

10<6.5 + a

if we put the value of a as 3,4 and 5 the results are as follows:

for 3=10>9.5

for 4=10<10.5

for 5=10<11.5

hence the minimum value of a should be 4.

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Answer 2

Answer:

(4)

Step-by-step explanation:

As we know, sum of length of any two sides of a triangle is always more than length of third side.

∴10+6.5>a

⇒16.5>a

∴a>3.5

The minimum value of a whole number is 4 for a.

Therefore, a=4.

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