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Cube

by gmat009 » Thu Oct 09, 2008 6:29 am
For the cube shown above[see attached], what is the degree measure of PQR?

A. 30
B. 45
C. 60
D. 75
E. 90
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by mental » Thu Oct 09, 2008 7:36 am
SIMILAR POST WAS DISCUSSED A DAY OR SO BACK

stop answered it well

all the three sides of triangle PQR are equal, as the are diagonals of the respective sides of cube

hence PQR is equilateral triangle
all angles = 60 (C)
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by vivek.kapoor83 » Thu Oct 09, 2008 8:21 am
https://www.beatthegmat.com/gud-n-tuf-ques-t20216.html

click on the link and get the answer.
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by Krabhay » Tue Dec 18, 2018 9:17 pm
All the three sides of triangle PQR are face diagonals of a cube.
If the side of the cube is 'a', then PQ = QR = PR = a x sqrt(2)
So, the triangle PQR is an equilateral triangle. Hence, all the angles are of 60.
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