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If triangle ABC is equilateral and side AB has a length of s
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01 Sep 2020, 10:26
01 Sep 2020, 10:26
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Question Stats:
78% (00:51) correct
21% (01:30) wrong based on 55 sessions
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If triangle ABC is equilateral and side AB has a length of s, then what is the area of triangle ABC in terms of s ?
A. \(\frac{s^2}{4} \sqrt{3}\)
B. \(\frac{s^2}{2} \sqrt{3}\)
C. \(\frac{s^2}{2} \sqrt{2}\)
D. \(s \sqrt{3}\)
E. \(s \sqrt{2}\)
KUDOS for the right solution and explanation
A. \(\frac{s^2}{4} \sqrt{3}\)
B. \(\frac{s^2}{2} \sqrt{3}\)
C. \(\frac{s^2}{2} \sqrt{2}\)
D. \(s \sqrt{3}\)
E. \(s \sqrt{2}\)
KUDOS for the right solution and explanation
Re: If triangle ABC is equilateral and side AB has a length of s
[#permalink]
02 Sep 2020, 05:25
02 Sep 2020, 05:25
1
Since the triangle is an equilateral triangle it can be broken into 30:60:90 triangle which means the longest side will be S, shortest side will be S/2, the the height(medium side) will be S√3
Then the area is 1/2 * S * S√3 = S^2√3/2
Answer is B
Posted from my mobile device
Then the area is 1/2 * S * S√3 = S^2√3/2
Answer is B
Posted from my mobile device
gmatclubot
Re: If triangle ABC is equilateral and side AB has a length of s [#permalink]
02 Sep 2020, 05:25
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