General Aptitude - 25.3 Area - Data Sufficiency 2 Free Online Tests | Mock Tests | Preparation | Practice Tests

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What is the area of a right-angled triangle?
I.	The perimeter of the triangle is 30 cm.
II.	The ratio between the base and the height of the triangle is 5 : 12.
III.	The area of the triangle is equal to the area of a rectangle of length 10 cm.

A. I and II only

B. II and III only

C. I and III only

D. III, and either I or II only

E. None of the above

View Answer

Correct choice: A

Explanation:

From II, base : height = 5 : 12.

Let base = 5x and height = 12x.

Then, hypotenuse =

From I, perimeter of the triangle = 30 cm.

∴ 5x + 12x + 13x = 30 x = 1.

So, base = 5x = 5 cm, height = 12x = 12 cm.

Thus, I and II together give the answer.

Clearly III is redundant, since the breadth of the rectangle is not given.

∴ Correct answer is (A).

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