geomatry

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geomatry

by vipulgoyal » Tue Jul 02, 2013 9:12 pm
Is the degree measure of one of the interior angles of triangle ABC greater than 90? [a, b, and c are sides of the triangle.]
(1) a^+b^2<15
(2) c >4
C
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by ganeshrkamath » Thu Jul 04, 2013 3:04 am
vipulgoyal wrote:Is the degree measure of one of the interior angles of triangle ABC greater than 90? [a, b, and c are sides of the triangle.]
(1) a^+b^2<15
(2) c >4
C
c > 4
=> c^2 > 16
Not A.
Since a^2 + b^2 < 15 (Not B)
a^2 + b^2 < c^2 (Angle contained between sides of length a and b is more than 90 degrees)
So C.