Two sides of a triangle measure 2x – 4 and 7x – 2 units, respectively. Which of these is a possible length for the third side of the triangle?
You don't list any "which of these ..."
However, the sum of any two sides must be greater than 3rd side ,
so ..
2x-4 + 7x-2
= 9x - 6
So whichever is less than 9x-6 could be a
third side
describe how you would find the total area of the lateral faces of a cube?
tell me the answer
To determine the possible length of the third side of a triangle, we can use the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.
In this case, we have two sides of the triangle given:
First side: 2x – 4 units
Second side: 7x – 2 units
Let's denote the length of the third side as "y".
So, the sum of the first and second side lengths must be greater than the length of the third side:
(2x – 4) + (7x – 2) > y
To find the possible values for "y", we need to solve this inequality.
Let's simplify the inequality:
2x – 4 + 7x – 2 > y
9x – 6 > y
Now, we have an inequality that describes the possible values for the length of the third side. The length "y" can take any value greater than 9x – 6.
Therefore, any value greater than 9x – 6 is a possible length for the third side of the triangle.