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Mathematics 14 Online
OpenStudy (thebookkeeper):

REALLY NEED THE ANSWER PLEASE HELP WILL GIVE MEDAL AND FAN! What is the perimeter of the polygon in the diagram? (Options are in screenshot) @mathstudent55 @TuringTest

OpenStudy (thebookkeeper):

OpenStudy (anonymous):

4 right angle triangles are forming in the diagram of same kind use phytagorus theorem ans=last option

OpenStudy (mathstudent55):

Think of this polygon as 4 congruent right triangles. The sides of the polygon are the 4 hypotenuses of the 4 triangles. The 4 hypotenuses are congruent. If you find the length of one hypotenuse and multiply it by 4, you'll have the perimeter of the polygon.

OpenStudy (mathstudent55):

|dw:1424284197350:dw| By the Pythagorean theorem, \(h^2 = a^2 + b^2\) so \(h = \sqrt{a^2 + b^2}\) Now multiply the hypotenuse by 4 to find the perimeter of the polygon: \(P = 4\sqrt{a^2 + b^2} \)

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