Question

If two triangles have the same area what additional information is needed to show that they are congruent

a) Length of one side
b) Perimeter
c) Angles measurement
d) Length of all sides

Answer 1

To show that two triangles are congruent, in addition to having the same area, we need the length of all sides.

Step-by-step explanation:

To show that two triangles are congruent, in addition to having the same area, we need the length of all sides. When we know the lengths of all sides of a triangle, we can use the SSS congruence postulate (Side-Side-Side congruence) to prove that the triangles are congruent.

This postulate states that if all three sides of one triangle are congruent to the corresponding sides of another triangle, then the triangles are congruent.