It is currently 23 Feb 2019, 01:41

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Two sides of a triangle have length 6 and 8. Which of the fo

Author Message
TAGS:
Senior Manager
Joined: 20 May 2014
Posts: 282
Followers: 18

Kudos [?]: 50 [0], given: 220

Two sides of a triangle have length 6 and 8. Which of the fo [#permalink]  26 Oct 2017, 02:29
00:00

Question Stats:

100% (00:37) correct 0% (00:00) wrong based on 1 sessions
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.
[Reveal] Spoiler: OA
Director
Joined: 03 Sep 2017
Posts: 521
Followers: 1

Kudos [?]: 343 [0], given: 66

Re: Two sides of a triangle have length 6 and 8. Which of the fo [#permalink]  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
Re: Two sides of a triangle have length 6 and 8. Which of the fo   [#permalink] 26 Oct 2017, 04:37
Display posts from previous: Sort by