All ISEE Upper Level Quantitative Resources
Example Questions
Example Question #1 : How To Find The Area Of An Equilateral Triangle
is an equilateral triangle. Points
are the midpoints of
, respectively.
is constructed.
Which is the greater quantity?
(a) The area of
(b) Twice the area of
Possible Answers:
(a) and (b) are equal.
(b) is greater.
(a) is greater.
It is impossible to tell from the information given.
Correct answer:
(a) is greater.
Explanation:
If segments are constructed in which the endpoints form the midpoints of the sides of a triangle, then four triangles, congruent to each other and similar to the larger triangle, are formed. Therefore, one of these triangles - specifically, - would have one-fourth the area of
. This means
has more than twice the area of
.
Note that the fact that the triangle is equilateral is irrelevant.
Robert
Certified Tutor
Certified Tutor
University of North Carolina at Chapel Hill, Bachelor in Arts, English. North Carolina Central University, Master of Arts, En...
Monique
Certified Tutor
Certified Tutor
California State University-Dominguez Hills, Bachelor of Science, Political Science and Government. California State Universi...
All ISEE Upper Level Quantitative Resources
Popular Subjects
GMAT Tutors in Boston, MCAT Tutors in Los Angeles, Chemistry Tutors in Miami, GRE Tutors in Miami, ISEE Tutors in Houston, Reading Tutors in Houston, GMAT Tutors in Washington DC, SSAT Tutors in Phoenix, LSAT Tutors in Denver, Spanish Tutors in Chicago
Popular Courses & Classes
LSAT Courses & Classes in Boston, ACT Courses & Classes in Chicago, SSAT Courses & Classes in Los Angeles, GRE Courses & Classes in Boston, SSAT Courses & Classes in Phoenix, SSAT Courses & Classes in Chicago, GMAT Courses & Classes in Washington DC, Spanish Courses & Classes in New York City, GRE Courses & Classes in New York City, LSAT Courses & Classes in Phoenix
