The value of x is 28
Explanation:
Given that APR is a triangle with line segment CD parallel to AP.
It is also given that AC = 10. CR = x. PD = 15. DR = 42
The image of the triangle showing these measurement is attached below.
The triangle proportionality theorem states that, "If a line is drawn parallel to one side of a triangle, it intersects the other two sides and divides them proportionally.
Hence, we have,
Now, we shall substitute the values, we get,
Multiplying both sides by 10, we have,
Simplifying, we get,
Dividing,
Thus, the value of x is 28.
