How is triangle qrt congruent to triangle qst?

The bisector QT divides the triangle equally in half- which would make the triangle congruent.  

The definition of bisector is The line that divides something into two equal parts.

The angles share the same side QT

ST = RT and ∠QTS = ∠QTR so the two triangles are congruent.

Step-by-step explanation:

Since ST is equal to RT

The two triangles share the same side QT and;

Angle QTS is equal to angle QTR

Then triangles QRT and QST are congruent

This is according to SSA principal that states if two triangles have to sides that are equal and a common angle value, then the triangles are congruent.

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step-by-step explanation: