What is the area of a right angled triangle ABC right angled at A Statement I The circum radius of t...........

Quantitative Aptitude (SBI-CL) Data Sufficiency

What is the area of a right-angled triangle ABC, right angled at A?

Statement I: The circum radius of the triangle is 6 cm.

Statement II: Angle ABC = 60 degrees

The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

Either Statement I or Statement II alone is sufficient to answer the question.

The data in both the statements I and II is not sufficient to answer the question.

The data in both the statements I and II together is necessary to answer the question.

Explanation:

If circum radius in the statement 1 is given then hypotenuse will be double of the circum radius.
From the statement II, one angle is 60 degrees then other will be 30 degrees. Here we know all the
angles and by combining with the statement I, we can conclude one side that is hypotenuse
By using sin60 = height/hypotenuse we can conclude the other side then after we can easily conclude
the area of the triangle.
Hence, option E is correct