**Question 1: **In the triangle if the sides are a = 8, b = 9 and c = 5. Find the length of the median drawn to side 'a'.

** Solution: **

Given a = 8, b = 9 and c = 5

The formula to find median is given as

$m_{a}$ = $\sqrt{\frac{2b^{2}+2c^{2} - a^{2}}{4}} $

Plug in the given values to solve the problem.

$m_{a}$ = $\sqrt{\frac{2(9)^{2}+2(5)^{2} - 8^{2}}{4}} $

$m_{a}$ = $\sqrt{\frac{162 + 50 - 64}{4}} $

$m_{a}$ = $\sqrt{37} $

$m_{a}$ = 6.08

**Question 2: **In the triangle if the sides are a = 4, b = 5 and c = 7. Find the length of the median drawn to side 'c'.

** Solution: **

Given a = 4, b = 5 and c = 7

The formula to find median is given as

$m_{c}$ = $\sqrt{\frac{2b^{2}+2a^{2} - c^{2}}{4}} $

Plug in the given values to solve the problem.

$m_{c}$ = $\sqrt{\frac{2(5)^{2}+2(4)^{2} - 7^{2}}{4}} $

$m_{c}$ = $\sqrt{\frac{50 + 32 - 49}{4}} $

$m_{c}$ = $\sqrt{8.25} $

$m_{c}$ = 2.87