CircleMedium
Question
AB is a diameter of a circle and C is any point on the circumference of the circle. Then
Options
A.the area of ᐃ ABC is maximum when it is isosceles
B.the area of ᐃ ABC is minimum when it is isosceles
C.the perimeter of ᐃ ABC is minimum when it is isosceles
D.None of the above
Solution
Clearly, ∠C = 90o as angle in semicircle is right angled.
Now area of ᐃ is maximum ehen AC = BC
ie, Triangle is right angled isosceles.
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