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Question
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?
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?
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Solution
The correct option is D
Option (d)
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
Option (d)
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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