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Re: Is the area of the equilateral triangle E greater than the area of the
[#permalink]
24 Jan 2021, 19:28
2
Kudos
Expert Reply
Bunuel wrote:
Is the area of the equilateral triangle E greater than the area of the isosceles right triangle R?
(1) One side of E is 10 and one side of R is 8. (2) 8 is the smaller side of R
Statement 1:
The area of R is at most \(8*8*\frac{1}{2} = 32\) while the area of E is \(\frac{\sqrt{3}}{4}*10^2 \approx 170/4 > 32\). Thus the equilateral triangle must be bigger. Sufficient.
Statement 2:
We can confirm the area of R but nothing on E. Insufficient.
Ans: A _________________
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