Question

In ∆ABC, points P and Q are midpoints of side AC and BC respectively. If PQ=5 then find the value of AB​

Answer 1

In ∆ ABC, PQ || BC. (see in attachment)

So, by proportionally theorem

$\frac{ap}{pb} = \frac{aq}{qc} = \frac{pq}{bc}$

$\frac{4}{6} = \frac{aq}{qc = \frac{3}{bc} }$

$= > \frac{4}{6} = \frac{3}{bc}$

.•.BC= 4.5 cm