All PSAT Math Resources
Example Questions
Example Question #1 : Acute / Obtuse Triangles
If a = 7 and b = 4, which of the following could be the perimeter of the triangle?
I. 11
II. 15
III. 25
Possible Answers:
I Only
II and III Only
I, II and III
II Only
I and II Only
Correct answer:
II Only
Explanation:
Consider the perimeter of a triangle:
P = a + b + c
Since we know a and b, we can find c.
In I:
11 = 7 + 4 + c
11 = 11 + c
c = 0
Note that if c = 0, the shape is no longer a trial. Thus, we can eliminate I.
In II:
15 = 7 + 4 + c
15 = 11 + c
c = 4.
This is plausible given that the other sides are 7 and 4.
In III:
25 = 7 + 4 + c
25 = 11 + c
c = 14.
It is not possible for one side of a triangle to be greater than the sum of both of the other sides, so eliminate III.
Thus we are left with only II.
Paul
Certified Tutor
Certified Tutor
University of Phoenix-Albuquerque Campus, Bachelor of Science, Computer and Information Systems Security.
All PSAT Math Resources
Popular Subjects
MCAT Tutors in Phoenix, SAT Tutors in Phoenix, ACT Tutors in Boston, Reading Tutors in Washington DC, Computer Science Tutors in Houston, GMAT Tutors in Houston, Biology Tutors in Philadelphia, LSAT Tutors in San Francisco-Bay Area, French Tutors in Denver, SSAT Tutors in Denver
Popular Courses & Classes
ACT Courses & Classes in New York City, SSAT Courses & Classes in Phoenix, SAT Courses & Classes in Phoenix, ISEE Courses & Classes in New York City, GMAT Courses & Classes in New York City, Spanish Courses & Classes in San Francisco-Bay Area, GRE Courses & Classes in Dallas Fort Worth, GRE Courses & Classes in Washington DC, MCAT Courses & Classes in Atlanta, MCAT Courses & Classes in Seattle
Popular Test Prep
SSAT Test Prep in Phoenix, ISEE Test Prep in Chicago, LSAT Test Prep in Washington DC, ISEE Test Prep in New York City, ACT Test Prep in San Diego, SSAT Test Prep in Washington DC, LSAT Test Prep in Phoenix, GRE Test Prep in Washington DC, GMAT Test Prep in Phoenix, GRE Test Prep in Miami