Direction: Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and Read both the statements and give answer
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What is the height of a triangle?
I. The area of the triangle is 20 times its base.
II. The perimeter of the triangle is equal to the perimeter of a square of 10 cm side.
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- If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
- If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
- If the data either in statement I alone or in statement II alone are sufficient to answer the question.
- If the data even in both statements I and II together are not sufficient to answer the question.
- If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
Correct Option: A
On the basis of above given details in question ,
Let b be the base of triangle and h be height of triangle .
From statement II , The perimeter of the triangle = The perimeter of a square of 10 cm side.
⇒ 2s = 4 x 10 = 40 ⇒ s = 40 / 2 = 20 cm
From statement I , The area of the triangle = 20 x base.
⇒ ( 1 / 2 ) x b x h = 20 x b
⇒ h = 20 x 2 = 40 cm
Hence , the height of a triangle = 40 cm
Thus , the height can be determined with the help of statement I alone. correct answer is A .
