OGQR 2020: Question No. 210
What is the perimeter of triangle ABC?
- AB = 16 inches
- ΔABC is equilateral.
| Source | OGQR 2020 |
| Type | Data Sufficiency |
| Topic | Geometry |
| Sub-Topic | Triangle |
| Difficulty | Easy |
Solution
Steps 1 & 2: Understand Question and Draw Inferences
We are given:
- A triangle ABC.
We need to find its perimeter.
- So, we need the length of all the sides of the triangle.
As we do not have any more relevant information, let us now analyse the statements.
Step 3: Analyse Statement 1
“AB = 16 inches”
From this information, we cannot find the answer to the question as we are not given the lengths of other two sides.
Thus, statement 1 is not sufficient to answer the question.
Step 4: Analyse Statement 2
“ΔABC is equilateral.”
For an equilateral triangle, the perimeter of the triangle = 3 × Side.
- However, we do not know the length of the side of the triangle.
- Thus, statement 2 is not sufficient to answer the question.
Step 5: Combine Both Statements Together (If Needed)
From Statement 1:
- AB = 16 inches
From Statement 2:
- Area of the triangle = 3 × Side.
By using both the statements, we can find the perimeter of the triangle.
Hence, we can find the answer by combining both the statements together.
- Thus, the correct answer choice is option C.
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