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Question:

Direction: Each of these questions is followed by two statements, I and II. Mark the answer as

1. if the question can be answered with the help of statement I alone.
2. if the question can be answered with the help of statement II alone.
3. if both statement I and statement II are needed to answer the question.
4. if the question cannot be answered even with the help of both the statements.

What is the area of the triangle?

I. Two sides are 41 cm each.
II. The altitude to the third side is 9 cm long.

Explanation:

Both statements are required to answer the question.

Statement I tells us that the triangle is an isosceles triangle.

In an isoceles triangle, the altitude is also the median and bisects the third side.
Hence, if we know the altitude length and the length of the congruent sides in an isoceles triangle, we can find its base. And if we know the base and the height of a triangle, we can find its area.

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