Question

In figure, M, N and P are the mid-points of AB, AC and BC respectively. If MN = 3cm, NP = 3.5cm and MP = 2.5cm, calculate BC, AB and AC.

• A. 4cm, 7cm, 5cm
• B. 6cm, 7cm, 5cm
• C. 6cm, 8cm, 5cm
• D. 6cm, 7cm, 4cm

Answer 1

The correct option is B

6cm, 7cm, 5cm

Here, MN is a line which joins the mid-point M of AB and N of AC.

Then, by mid-point theorem, $MN\parallel BC$ and $MN=\frac{1}{2}BC$

$\Rightarrow BC=2MN=6cm$

Similarly, AC = 2MP = 5cm

And, AB = 2NP = 7cm

So, the sides BC, AB and AC are 6cm, 7cm and 5cm respectively.