Question

state giving reasons weather the given triangles are congruent or not.

Answer 1

hello friend!!!

here is ur answer!!!

these 2 triangles are not congruent
in triangle ABC 60 degree is not between 3cm and 4 cm
in triangle PQR 60 degree is between 3cm and 4 cm

if in triangle ABC 60 degree is between 3cm and 4 cm then these to triangles will be congruent by SAS axiom (side,included angle,side)

hope it helps u

Answer 2

This pair of triangles is not equal.

Because they are just having 2 things in common but we need three things in common.

Congruent Figures :

Those figures which covers each other/one another exactly then they are congruent Figures.

There are 4 ways by which we can prove any 2 triangles as congruent :

If they are having -

★ SSS : Side Side Side

Three pairs of side are equal then the triangles are congruent.

★ ASA : Angle Side Angle / AAS : Angle Angle Side

If any 2 pairs of angles and 1 side are equal then the triangles are congruent.

★ SAS : Side Angle Side

If any two pairs of sides and the included angle are equal then the triangles are congruent.

★ RHS : Right Hypotenuse Side

If any right angle triangles are having their hypotenuse and a pair of sides equal then they are congruent.