jainrahul1985 wrote:Is area of triangle ABC greater than area of triangle DEF ?
1. The value of area of ABC is less than that of perimeter of DEF.
2. Angles of ABC = Angles of DEF
OA E
I received a PM asking me to comment.
Let's plug in familiar triangles that satisfy both statements. The sides of a 45-45-90 triangle are proportioned 1:1:√2.
Statement 1: The value of the area of ABC is less than that of the perimeter of DEF
If ABC = 1:1:√2 (area = 1/2) and DEF = 1:1:√2 (perimeter ≈ 3.4), then the areas are equal.
If ABC = 2:2:2√2 (area = 2) and DEF = 1:1:√2 (perimeter ≈ 3.4), then ABC has a greater area.
Insufficient.
Statement 2: Angles of ABC = Angles of DEF
Since the scenarios used in Statement 1 also satisfy statement 2, and in the first case ABC and DEF have equal areas and in the second case ABC has a greater area, insufficient.
Statements 1 and 2 combined:
Since the scenarios used in Statement 1 satisfy both statements, and in the first case ABC and DEF have equal areas and in the second case ABC has a greater area, insufficient.
The correct answer is
E.
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