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ΔABC and ΔPQR are congruent
I. Area of ΔABC and ΔpPQR are same
II. ΔABC and ΔPQR are right angle Triangles.
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- if the data in Statement I alone is sufficient to answer the question but the data in Statement II alone is not sufficient to answer the question.
- if the data in Statements II alone is sufficient to answer the question but the data in Statement I alone is not sufficient to answer the question.
- if the data in Statement I and II together are necessary to answer the question.
- if the data in Statement I and II together are not sufficient to answer the question.
- if the data in Statement I alone is sufficient to answer the question but the data in Statement II alone is not sufficient to answer the question.
Correct Option: D
Consider Statement I alone
Given that Area (ΔABC) = Area(ΔPQR) since nothing about the sides or angles is mentioned, we can not say if they are congruent.Hence, I alone is not sufficient.
Consider Statement II alone
ΔABC and ΔPQR are right triangles. Nothing about the sides is given, Hence, II alone is not sufficient. Now using both I and II
Now we have two right angled triangle k with same area we may have different combination as only product of base and height is same. Hence even by using both the statement we can not find the answer.