Question

The value of x must be greater than

0 1 3 7

Answer 1

Explanation:

The value of x must be greater 0 obviously...but more specifically, if B is greater than 90 degrees, then we can say a little more-

Suppose ABC is a right triangle with B=90 degrees.

Then:

`x^2+12^2=15^2\\x=19.2`

So if B is larger than 90 degrees, which it seems to be in the picture, then x must be greater than 7 also.

Answer 2

Answer: The correct option is (C) 3.

Step-by-step explanation: We are given to select a number such that x is greater than that number.

From the figure, we see that

in triangle ABC, the lengths of the threes sides are

AB = 12 units, AC = 15 units and BC = ?

We know that

the sum of the lengths of any two sides of a triangle is always greater than the length of the third side.

So, we get

`12+15>x\\\\\Rightarrow x<27,`

`15+x>12\\\\\Rightarrow x>12-15\\\\\Rightarrow x>-3`

and

`12+x>15\\\\\Rightarrow x>15-12\\\\\Rightarrow x>3.`

Therefore, the value of x must be greater than 3.

Option (C) is CORRECT.