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DS----Is a^2 + b^2<15?

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DS----Is a^2 + b^2<15?

by nitya34 » Mon Jul 20, 2009 3:12 am
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^2+b^2<15[edited]
(2) c >4

OA says .....[spoiler]...C.......Together, a^2+b^2<c^2. SUFF..........is it E.[/spoiler]...........?
Last edited by nitya34 on Tue Jul 21, 2009 2:43 am, edited 2 times in total.
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by axat » Mon Jul 20, 2009 4:01 am
You are posting some excellent questions Nitya34.

You missed raising A to the power of 2.

it is C. There are these 3 properties that explain whether a triabgle is acute, obtuse or right angle.


if a^2 + b^2 = c^2, then it's a right angle triangle.
if a^2 + b^2 < c^2, then it's an obtuse angled triangle
if a^2 + b^2 > c^2, then it's an acute angled triangle.
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by raghavsarathy » Mon Jul 20, 2009 9:54 am
Hey Nitya34

What is the source of this question.. I am posting it here itself instead of a PM because others would also surely be interested to refer that source !
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by axat » Mon Jul 20, 2009 11:14 am
Yes, Nitya34, I want to know the source too.
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by Domnu » Mon Jul 20, 2009 12:26 pm
Generally, for a triangle, we have that

A^2 + B^2 = C^2 for a right triangle
A^2 + B^2 < C^2 for an obtuse triangle
A^2 + B^2 > C^2 for an acute triangle (for all ways)
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by nitya34 » Tue Jul 21, 2009 2:39 am
thanks axat
source-googling...... :wink:
axat wrote:There are these 3 properties that explain whether a triabgle is acute, obtuse or right angle.


if a^2 + b^2 = c^2, then it's a right angle triangle.
if a^2 + b^2 < c^2, then it's an obtuse angled triangle
if a^2 + b^2 > c^2, then it's an acute angled triangle.
Many of the great achievements of the world were accomplished by tired and discouraged men who kept on working.
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