What is the base of a $ \Delta PQR $ and PQ as base? I. Height and base of the triangle are in the ratio of 3: 4. II. The area of the triangle is $ 48cm^{2}, $ perimeter $ 36cm $ and height 2/3 of the perimeter.
A) 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
B) The data either in statement I alone or in statement II alone are sufficient to answer the question
C) 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
D) The data in both statements I and II together are necessary to answer the question
E) The data even in both statements I and II together are not sufficient to answer the question
Correct Answer: A
$ \therefore $ $ Base\times Height=96 $ (i) Again, $ Height=\frac{2}{3}\times Perimeter=\frac{2}{3}\times 36=24cm $ Now, from Eq. (i), we get $ Base\times 24=96 $
$ \therefore $ Base $ =4cm $ Hence, statement II alone (s sufficient to answer the question.
BETA
