Question

If two triangles are equal in areas then they are congruent.
State true or false.

Answer 1

Answer:

false

Step-by-step explanation:

having same area dosent mean congruent

Answer 2

Step-by-step explanation:

Question :

State true or false.

If two triangles are equal in areas then they are congruent.

Solution:

False

No, if two triangles are congruent their area cannot be equal.

Reason :

Area of a triangle = 1/2 X base X height

Even if two triangles have the same area but lengths of their sides may vary and hence they cannot be congruent.

More Information :-

Rules of congruency :

➠ SSS (Side Side Side)

➠ SAS (Side Angle Side)

➠ ASA (Angle Side Angle)

➠ RHS (Right angle Hypotenuse Side)

Note:

‣ There is no such congruency rule like AAA (Angle Angle Angle) because in this the triangles angles are equal but their sides are not equal.

Hence, their is no such rule like AAA.