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One side of a triangle has length 6 in. and another side has length 3 in. Which is the greatest possible value for the length of the third side?

Respuesta :

Answer:

the ancwer is 18 in.

Step-by-step explanation:

thanks googel

The greatest possible value for the length of the third side is 8.9 .

What is Triangle Inequality theorem?

The Triangle Inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

According to the question

One side of a triangle has length 6 in. and another side has length 3 in.  

Let side be a, b, c  

a = 6 inches

b = 3 inches

Now,

According to the Triangle Inequality theorem

The Triangle Inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

a + b > c

6+3 > c

9 > c

a + c > b

i.e

6+c > 3 ( Not possible )

b + c > a

3 + c > 6

c > 3

or

difference of two sides <c< sum of two sides, will give you the possible length of a triangle.

Therefore, 6−3<c<6+3

The third side is between 3 and 9 .

Hence, the greatest possible value for the length of the third side is 8.9 .

To know more about  Triangle Inequality theorem  here:

https://brainly.com/question/3213041

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