Answer:
value of QZ = 8 units and QM = 12 units.
Step-by-step explanation:
Given: In triangle PQR has medians QM and PN that intersect at Z.
If ZM = 4 units.
In the figure given below; second median divided the two triangles formed by the first median in the ratio 2:1.
We have to find the value of QZ and QM;
QZ:ZM = 2: 1
⇒ [tex]\frac{QZ}{ZM} = \frac{2}{1}[/tex]
Substitute the value of ZM =4 units and solve for QZ;
[tex]\frac{QZ}{4} = \frac{2}{1}[/tex]
Multiply both sides by 4 we get;
[tex]QZ = 2 \times 4 = 8 units[/tex]
Now, calculate QM;
QM = QZ+ZM = 8 + 4 = 12 units.
Therefore, the value of QZ and QM are; 8 units and 12 units
