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A square is inscribed in a triangle with the two shorter sides p and q such that the square has a common right angle with the triangle. What is the perimeter of the square?  
Options:
A .  4(1p+1q)
B .  (pq)3
C .  p2q2(p+q)2
D .  4pqp+q
Answer: Option D
:
D
Option (d)
A Square Is Inscribed In A Triangle With The Two Shorter Sid...
Assume a 45-45-90 triangle. p=1 and q=1
Since only variables are used, the conditions should satisfy any right angled triangle. The side of the square becomes 0.5 or 12,. The perimeter = 4x12=2
Look in the answer options, where on the substitution of p=1 and q=1, you get 2. only option (e) gives 2

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