If AD id the median of triangle ABC and sides AB = 5, BC = 6 and CA = 7, then find the medain AD

A) \$\frac{\sqrt{73}}{2}\$

B) \$\frac{\sqrt{75}}{6}\$

C) \$\frac{\sqrt{75}}{3}\$

D) \$\frac{\sqrt{74}}{7}\$

In a triangle ABC, AB = BC = 7 and AC = 4, and BD is the medain of the triangle, find the length of BD.

A) \$BD = \sqrt{41}\$

B) \$BD = \sqrt{45}\$

C) \$BD = \sqrt{39}\$

D) \$BD = \sqrt{47}\$

In triangle PQR, S is a ponit on PR and QS is the median of the tiangle PQR. If PQ = 3, QR = 5 and PR = 4, then find the length of QS.

A) \$\sqrt{13}\$

B) \$\sqrt{14}\$

C) \$\sqrt{17}\$

D) \$\sqrt{15}\$

Obtain the value of CD, which is the median of the traingle ABC, if AC = 6, CB = 13 and AB = 15.

A) \$CD = \frac{\sqrt{185}}{2}\$

B) \$CD = \frac{\sqrt{185}}{5}\$

C) \$CD = \frac{\sqrt{185}}{4}\$

D) \$CD = \frac{\sqrt{185}}{3}\$

Consider the triangle MNO, MP is the median, if MN = 5, NO = 7 and MO = 9 find the value of MP?

A) \$MP = \frac{\sqrt{161}}{2}\$

B) \$MP = \frac{\sqrt{173}}{2}\$

C) \$MP = \frac{\sqrt{163}}{2}\$

D) \$MP = \frac{\sqrt{159}}{2}\$