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Geometry Stem analysis

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Joined: 07 Jun 2004
Posts: 613
Location: PA
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27 Jul 2010, 04:53
hi

in a triangle with sides a b c

if it says

a^2 + b^2 > c^2

what does this tell about the triangle

can an angle be < 90 or > 90 or = 90

is it a acute / obtuse angled triangle

is there a relationship on the sides of triangles to tell whether its a obtuse / scalene triangle ?
thanks
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Joined: 16 Apr 2010
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27 Jul 2010, 05:31
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Hi,

a^2 + b^2 > c^2 Then triangle is obtuse (one angle is greater than 90)
a^2 + b^2 = c^2 Then triangle is right triangle
a^2 + b^2 < c^2 Then triangle is acute (all angles are less than 90)

regards,
Jack
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28 Jul 2010, 00:34
I should say:
a²+b²>c² for acute triangle and a²+b²<c² for obtuse triangle
take an equilateral triangle for example.
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Re: Geometry Stem analysis   [#permalink] 28 Jul 2010, 00:34
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