Question

in triangle trs, tz = (3x) inches and wz = (2x - 3) inches.
figure may not be drawn to scale
what is wz?
○ 6 inches
○ 9 inches
○ 18 inches
○ 27 inches

Explanation:

Step1: Identify centroid property

In a triangle, the centroid (Z) divides a median into a ratio of $2:1$, so $TZ = 2 \times WZ$.

Step2: Substitute given expressions

Substitute $TZ=3x$ and $WZ=2x-3$ into the equation:
$3x = 2(2x - 3)$

Step3: Solve for x

Expand and simplify:
$3x = 4x - 6$
$4x - 3x = 6$
$x = 6$

Step4: Calculate length of WZ

Substitute $x=6$ into $WZ=2x-3$:
$WZ = 2(6) - 3$

Answer:

9 inches