Question

In the following figure, $AB=8\cdot 4$ cm, $PR=5\cdot 0$ cm and $PQ=4\cdot 8$ cm, find the lengths of $BC,CA$ and $QR$

• A. 10 cm, $9\cdot 6$ cm and $4\cdot 2$ cm
• B. 10 cm, $9\cdot 6$ cm and $5\cdot 2$ cm
  
• C. 10 cm, $8\cdot 6$ cm and $4\cdot 2$ cm
• D. 11 cm, $9\cdot 6$ cm and $4\cdot 2$ cm

Answer 1

The correct option is A 10 cm, $9\cdot 6$ cm and $4\cdot 2$ cm

Given, P, Q, and R are midpoints of AB, BC and CA respectively.

Thus, by mid point theorem:

$BC=2PR$

$BC=2\left(5\right)$

$BC=10$ cm
Similarly,

$QR=\frac{1}{2}AB$

$QR=\frac{1}{2}\left(8.4\right)$

$QR=4.2$ cm
and $AC=2PQ$

$AC=2\left(4.8\right)$

$AC=9.6$ cm