Question

If in the given triangles TQ = SR, PT = 4cm and SR = 6cm, then TS = ?.

• A. 4cm`
• B. 3cm
• C. 2cm
• D. 1cm

Answer 1

The correct option is C 2cm

In the triangles, $△$TPQ and $△$SRQ,
$\angle$PTQ = $\angle$QSR = right angle
side TS = side SR (given)
$\angle$TQP = $\angle$SRQ (given in figure)

Hence, $△$TQP $\cong △$SRQ by ASA criterion for congruency of triangles.

$\therefore$TQ = SR = 6cm
and, QS = PT = 4cm

So, TS = TQ - QS = 6 - 4 = 2cm