Base of an isosceles triangle

Calculate the size of the base of an isosceles triangle, the height is 5 cm and the length of the arm is 6.5 cm. What is the perimeter of this triangle?

Correct result:

a =  8.3066 cm

Solution:

h=5 cm r=6.5 cm  (a/2)2+h2=r2  a=2⋅ r2−h2=2⋅ 6.52−52=69=8.3066 cm

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