Question

Which of the following is not a possible value of x? A. 1 B. 5.9 C. 6 D. 8

Answer 1

D.8 is the correct answer 

Answer 2

The correct option is D.

Explanation:

In triangle STU and RSU,

`TU=SR=8.56` (Given)

`SU=SU` (Common side)

If two corresponding sides of triangle are equal, then length of third side is dependent on the inclined angle of both sides. Larger angle means larger sides and smaller angle means smaller side.

`RU>ST`

`34>5x-1`

`34+1>5x`

`35>5x`

Divide both sides by 5.

`7>x`

It means the value of x should be less than 7.

Since 8>7, therefore it is not a possible value of x. Hence option D is correct.