Question

In triangle PQR, if A and B are midpoints of sides PQ and PR respectively and of AB=6.5 cm then find the length of QR​

Answer 1

Answer:

qr=13cm

Step-by-step explanation:

AB || QR [ by mid-point theorem]

In triangles PAB & PQR

angle APB = angle QPR

angle PAB = angle PQR

triangle PAB ~ triangle PQR

$\frac{pa}{pq} = \frac{ab}{qr} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{pa}{2pa} = \frac{6.5}{qr} \: \: \: \: \: \: \: \: (pa = qa) \\ \frac{1}{2} = \frac{6.5}{qr} \\ qr = 13cm$