Chapter 1.3, Problem 12CYU

To determine

To find the coordinates of missing point.

Answer to Problem 12CYU

Hence, value of a is 3.

Explanation of Solution

Given information:

  $C(3a,2a),M(6,4),D(3,2)$

P is the midpoint of $EG$ .

Formula used:

  $x_m^{}=\frac{x_1^{}+x_2^{}}{2}$ For x coordinate of midpoint.

  $y_m^{}=\frac{y_1^{}+y_2^{}}{2}$ For y coordinate of midpoint.

Calculation:

According to question, P is the midpoint of $EG$

So for x coordinate of E ,

  $6=\frac{3+3a}{2}$ ,

Solving,

  $12=3+3a$

Now,

  $\frac{12-3}{3}=a$

Hence, value of a is 3.