Chapter 3, Problem 16RP

To determine

To calculate: The length of CR

Answer to Problem 16RP

The length of CR is $2$

Explanation of Solution

Given information: $\Delta NEW\cong \Delta CAR$ , $EN=11$ , $AR=2x-4y$ , $NW=x+y$ , $CA=4x+y$ and $EW=10$ is provided in the question which will help to find the solution.

  

Calculation: Now, according to question

NE = CA

  →$11=4x+y$ ............ $\left(1\right)$

And, EW = AR

  →$10=2x-44$ ............. $\left(2\right)$

So that, by solving equation $\left(1\right)$ and $\left(2\right)$ we get

  $x=3$ and $y=-1$

And, we know that,

  →$x+y=CR$

  →$3-1=CR$

  →$CR=2$

Conclusion: Hence, the length of CR is $2$