Since the two triangles have the same combination of angles, they are similar.
Plug in a type of triangle whose characteristics are familiar.
Let each triangle be a 45-45-90 triangle.
Triangle ABC:
Let s=1.
A = (1/2)(1)(1) = 1/2.
Triangle DEF:
Since triangle DEF is twice the size, A=1.
Thus:
(1/2)(S)(S) = 1.
S²= 2.
S = √2.
The correct answer must yield √2 when S=1.
Only C works:
(√2)s = (√2)(1) = √2
The correct answer is C.
Last edited by
GMATGuruNY on Wed Aug 05, 2020 11:00 am, edited 1 time in total.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at
[email protected].
Student Review #1
Student Review #2
Student Review #3
