# Explain how to construct a triangle that is congruent to \triangle OBT

To explain: How to construct a triangle that is congruent to $\mathrm{△}OBT$.
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Luvottoq

Here, $\mathrm{△}OBT$ is an obtuse triangle as $\mathrm{\angle }OBT>{90}^{\circ }$.
According to SSS congruence criteria, if all the sides of one triangle are congruent to the corresponding sides of other triangle then the two triangles are said to be congruent.
Construct $\mathrm{△}PQR$ such that $PQ\stackrel{\sim }{=}OB,PR\stackrel{\sim }{=}OT,QR\stackrel{\sim }{=}BT$.
So,
$\mathrm{△}OBT\stackrel{\sim }{=}\mathrm{△}PQR$ (by SSS congruence criteria)