The three sides of two triangles are 4, 5 and 6 cm. Select the INCORRECT statement.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. The area of the two triangles will be different.
Since both triangles have the same three side lengths (4cm, 5cm, 6cm), they are congruent by the Side-Side-Side (SSS) congruence theorem.
Option 1: In any triangle, the angle opposite the longest side is the largest angle. This applies to both triangles.
Option 2: Since the triangles are congruent, they have the same area.
Option 3: As explained above, the triangles are congruent by SSS.
Option 4: The triangles have sides of different lengths.
Therefore, the INCORRECT statement is that the area of the two triangles will be different.