The given statement that the triangles shown in figure must be congruent is true.
What do you mean by congruent ?
When the triangles have the same size and shape then they are congruent triangles.
Let Triangle on left be [tex]\triangle PQR[/tex] right angled at [tex]Q[/tex],
Let Triangle on right be [tex]\triangle XYZ[/tex] right angled at [tex]Y[/tex],
On comparing both triangles ,
[tex]\angle 30^0 = \angle 30^0[/tex]
[tex]\angle 60^0 = \angle 60^0[/tex]
[tex]5=5[/tex]
Therefore, using AAS (Angle-Angle-Side) rule both triangles are congruent.
Hence, we can say that the given statement that the triangles shown in figure must be congruent is true.
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