An isosceles right triangle with a leg of length "a" and perimeter "p" is further divided into two similar triangles...

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An isosceles right triangle with a leg of length "a" and perimeter "p" is further divided into two similar triangles of equal area. Which of the following represents the perimeter of one of these smaller triangles?

A. \(p/2\)
B. \(p-a\)
C. \((p+a)/2\)
D. \(2a\)
E. \(p−a\sqrt{2}\)

OA B