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Two sides of a triangle have length 6 and 8. Which of the fo
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26 Oct 2017, 02:29
26 Oct 2017, 02:29
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Two sides of a triangle have length 6 and 8. Which of the following are possible areas of the triangle?
I. 2
II. 12
III. 24
A. I only
B. I and II only
C. II and III only
D. I and III only
E. I, II, and III
Kudos for correct solution.
I. 2
II. 12
III. 24
A. I only
B. I and II only
C. II and III only
D. I and III only
E. I, II, and III
Kudos for correct solution.
Re: Two sides of a triangle have length 6 and 8. Which of the fo
[#permalink]
26 Oct 2017, 04:37
26 Oct 2017, 04:37
Given two sides of a triangle, the smallest area is almost zero when the two sides are almost coincident, while the largest area is the one when the two sides are perpendicular, thus the one of the right triangle of legs 6 and 8.
Thus, the range of possible areas goes from \(0^+\leq Area\leq \frac{6*8}{2}=24\). Thus, all the three areas are possible and answer is E
Thus, the range of possible areas goes from \(0^+\leq Area\leq \frac{6*8}{2}=24\). Thus, all the three areas are possible and answer is E
Re: Two sides of a triangle have length 6 and 8. Which of the fo
[#permalink]
01 Mar 2023, 13:00
01 Mar 2023, 13:00
Hello from the GRE Prep Club BumpBot!
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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