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  • 03-01-2020
  • Mathematics
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Find the area of the largest isosceles triangle that can be inscribed in a circle of radius r

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sqdancefan
sqdancefan sqdancefan
  • 03-01-2020

Answer:

  (3/4)(√3)r²

Step-by-step explanation:

The largest such triangle is an equilateral triangle. It will have a side length of r√3. The area can be found a number of ways, one of which is to use the formula for the area of an equilateral triangle of side length s:

  A = s²·(√3)/4

Using s=r√3, we get ...

  A = (3/4)(√3)r²

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