Question

The Indian Navy flight fly in a formation that can be viewed as two triangles with common side. Prove that $△SRT\cong △QRT$, if $T$ is the midpoint of $SQ$ and $SR=RQ$.

Answer 1

From the figure, $RS$ is the common side and $T$ is the mid point of $SQ$ and also, $SR=RQ$

In $△SRTand△QRT$

$SR=RQ$ ....... (Given)

$ST=TQ$ ....... ($T$ is the mid point of SQ)

$RT=RT$ ........ (Common side)

$\Rightarrow △SRT\cong △QRT$ ....... [By SSS condition of congruence]