Bunuel wrote:
If A is the area of a triangle with sides of lengths x, y, and z as shown above, what is the value of A ?
(1) z = 13
(2) A = 5y/2
Attachment:
2019-04-26_1842.png
Hey guys!
Hope this explanation proves to be valuable for all!
1.
Statement 1 says that
z=13,
Yes, we do know that there is a Pythagorean triplet for this question-
'12,5,13'.
But we cannot conclude on this as there can be alternate measures as well.
So,
Drop Statement 1 for now2.
Statement 2 says that \(Area(A)= \frac{ 5y}{2 }\)
So, we can conclude saying that the value of
x=5,
Because, \(Area of Triangle= \frac{1}{2} * x * y \)
So,
A= 2.5yWe cannot go further on this, as the
information is insufficient.Combining statements 1 and 2,
We get to know the 2 values, i.e., x=5 and z=13
We finally accomplish the values for this triplet!
z^2= x^2 + y^2
And, we shall find the Area of triangle using the standard formula.Official Answer:- Option CHope this helps you friends! saarthakkhanna04 SPatel1992 manu11 thyagi anilesh10 LeenaSai UNSTOPPABLE12 digvijayk1 Thank you!
Regards,
Raunak Damle