The perimeter of a certain isosceles right triangle is 16 +16√2. What is the length of the hypotenuse of the triangle?
A. 8
B. 16
C. 4√2
D. 8√2
E. 16√2
In an isosceles right triangle, the sides are proportioned s : s : s√2.
We can plug in the answer choices, which represent the value of s√2.
Answer choices C, D and E clearly won't work:
C: If s√2 = 4√2, then s=4 and p = 4+4+4√2 = 8 + 4√2.
D: If s√2 = 8√2, then s=8 and p = 8+8+8√2 = 16 + 8√2.
E: If s√2 = 16√2, then s=16 and p = 16+16+16√2 = 32 + 16√2.
Answer choice B: s√2 = 16.
s = 16/√2 = (16√2)*(√2/√2) = (16√2)/2 = 8√2.
p = 8√2 + 8√2 + 16 = 16√2 + 16. Success!
The correct answer is
B.
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
