Instructions

Data Sufficiency: In each of the following Questions you find a question followed by two statements labelled (I) and (II). You have to decide whether these statements answer the given questions. Mark your option as

Question 188

What is the area of the right angled isosceles triangle?
I) The angles of the triangle are $$90^\circ, 30^\circ, 60^\circ$$.

II) Length of the hypotenuse is $$15\sqrt2$$ cm.

Solution

The question makes it clear that the angles of the triangle would be 90-45-45.
Hence, statement 1 itself cannot be true in this case at any cost.
Knowing any side of the 90-45-45 triangle is enough to know the area of the triangle.
Hence, statement 2 alone can answer the question.

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What is the area of the right angled isosceles triangle?I) The angles of the triangle are $$90^\circ, 30^\circ, 60^\circ$$. II) Length of the hypotenuse is $$15\sqrt2$$ cm.

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What is the area of the right angled isosceles triangle?
I) The angles of the triangle are $$90^\circ, 30^\circ, 60^\circ$$.

II) Length of the hypotenuse is $$15\sqrt2$$ cm.