What is the value of x? enter your answer in the box. units triangle a p r with line segment c d parallel to segment a p with c between a and r and d between p and r. a c equals 10. c r equals x. p d equals 15. d r equals 42?

The answer is 28

Step-by-step explanation:

15 divided by 10 is 1.5,

42 divided by 1.5 equals 28,

hence the answer is 28.

x = 28 unit

Step-by-step explanation:

Here, In triangle APR,

CD ║ AP,

Such that, C ∈ AR and D ∈ PR,

Also, AC = 10 unit, CR = x unit, PD = 15 unit and DR = 42 unit,

Since, CD ║ AP,

Thus, by the alternative interior angle theorem,

Thus, By AA similarity postulate,

Since, the corresponding sides of the similar triangle are in same proportion,

Hence, the value of x = 28.