Question

What is the range of possible sizes for side
x?
4.0
2.7

Answer 1

`1.3< x < 6.7` is the correct answer to the given question .

Step-by-step explanation:

In this question the figure is missing We have attached the figure kindly find it .

Now coming to the answer

With the help of Triangle Inequality Theorem.

The triangle Inequality theorem saying that the total of a sizes of either side of a triangle is larger than the size of a third side

Consider that x be the measurement of the 3rd side triangle

Now apply the theorem of Inequality

(1 )

`4.0+2.7 > x\\\\6.7 > x`

Update the equation so it will written like that

`x< 6.7 \ units`

(2)

Again with the help of triangle Inequality theorem

`x+2.7 > 4.0\ \\x\ > 4.0-2.7\ \\x\ > 1.3\ units`

Hence the possible ranges of the size is
`(1.3 ,6.7)`

Therefore the answer is 1.3< x < 6.7