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1 mark

Read the question and statements provided and decide whether the data provided in the statements are sufficient to answer the question.
Question: Find the area of a triangle.
Statements:
I. One of its sides is .
II. It is an equilateral triangle.

  1. A
    Both Statements I and II are required
  2. B
    Only Statement II is sufficient
  3. C
    Neither Statement I nor II is sufficient
  4. D
    Only Statement I is sufficient

Solution & Step-by-step Explanation

To find the area of a triangle, we need specific dimensions.
* Statement I alone tells us only one side is , which is not sufficient because the triangle could have any shape.
* Statement II alone tells us it is an equilateral triangle, but without a specific side length, we cannot calculate the exact numerical area.
* Combining Statement I and Statement II: Since it is an equilateral triangle and one side is , all three sides must be . The area can now be calculated using the formula:



Thus, both statements together are required to answer the question.

Practice this question

Try it yourself before checking the explanation above.

Read the question and statements provided and decide whether the data provided in the statements are sufficient to answer the question.
Question: Find the area of a triangle.
Statements:
I. One of its sides is .
II. It is an equilateral triangle.
A
Both Statements I and II are required
B
Only Statement II is sufficient
C
Neither Statement I nor II is sufficient
D
Only Statement I is sufficient

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