+0  
 
0
46
2
avatar

A right triangle is inscribed in a circle with a diameter 100 units long. What is the maximum perimeter of the triangle?

 Nov 8, 2021
 #1
avatar+1607 
0

Max  Perimeter = 100 + 2(25√8)

 Nov 8, 2021
 #2
avatar+115420 
+1

If a right-angled triangle is inscribed in a circle then the hypotenuse must be a diameter.

 

I can prove it with calculus but the longest perimeter will be when the other two sides are equal. Let them be x

 

100^2 = 2x^2

 

solve for x then find the perimeter. 

 Nov 9, 2021

10 Online Users