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
