Question:
In figure, M, N and P are mid-points of AB, AC and BC respectively. If MN = 3 cm, NP = 3.5 cm and MP = 2.5 cm, calculate BC, AB and AC.
Solution:
Given MN = 3 cm, NP = 3.5 cm and MP = 2.5 cm.
To find BC, AB and AC
In ΔABC
M and N are mid-points of AB and AC
∴ MN = (1/2) BC, MN ∥ BC [By mid-point theorem]
⇒ 3 = (1/2) BC
⇒ 3∗2 = BC
⇒ BC = 6 cm
Similarly
AC = 2MP = 2 (2.5) = 5 cm
AB = 2 NP = 2 (3.5) = 7 cm
