Question

PLEASE HELP::::::: Triangle PQR has medians QM and PN that intersect at Z. If ZM= 4, find QZ and QM

Answer 1

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

⇒

Substitute the value of ZM =4 units and solve for QZ;

Multiply both sides by 4 we get;

Now, calculate QM;

QM = QZ+ZM = 8 + 4 = 12 units.

Therefore, the value of QZ and QM are; 8 units and 12 units