Question

Find the value of x​

Answer 1

The correct answer is option C: 8

Step-by-step explanation:

We will use the mid-segment theorem of triangle to solve this problem.

We can see that the line which is represented by 2x-9 is the mid-segment of the triangle as it passes from mid-points of two sides of the triangle

The mid-segment theorem states that "Any line that passes through the mid-points of two sides of triangle is parallel to the third side and in length, it is half the length of the third side

In the given figure,

The length of line represented by 2x-9 will be half of 14

So,

$2x-9 = \frac{1}{2} * 14\\2x - 9 = 7$

Adding 9 on both sides

$2x-9+9 = 7+9\\2x = 16$

Dividing both sides by 2

$\frac{2x}{2} = \frac{16}{2}\\x = 8$

Hence,

The correct answer is option C: 8

Keywords: Triangle, mid-points

Learn more about the mid-segment theorem at:

• brainly.com/question/833559
• brainly.com/question/8054589

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