Question

In triangle ABC, Z is the midpoint of AC and Y is the midpoint of BC. If YZ = 21 and AB = (2x - 4), what is x?

A.46
B. 12.5
C. 7.25
D. 23​

Answer 1

To find the value of x, set up the equation using the fact that Z is the midpoint of AC and Y is the midpoint of BC. Simplify and solve for x to get the answer.

Step-by-step explanation:

To find the value of x, we can use the fact that Z is the midpoint of AC and Y is the midpoint of BC. Since YZ is given as 21, we can set up the equation YZ = 1/2 * AC.

Substituting the given value, we have 21 = 1/2 * (2x - 4).

Simplifying the equation, we get 42 = 2x - 4.

Adding 4 to both sides, we get 46 = 2x.

Dividing by 2, we find that x = 23. Therefore, the answer is D. 23.