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# If the sides of a triangle are 4, 4 and 7 units

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Senior Manager
Joined: 05 Aug 2005
Posts: 410

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If the sides of a triangle are 4, 4 and 7 units [#permalink]

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20 Oct 2005, 19:45
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If the sides of a triangle are 4, 4 and 7 units respectively, then which of the following is true?

The triangle is a right isosceles triangle
The triangle is an acute angled isosceles triangle
The triangle is an obtuse angled isosceles triangle
The 3 points are collinear
None of these

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SVP
Joined: 05 Apr 2005
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Re: PS: isosceles triangle [#permalink]

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20 Oct 2005, 20:02
The triangle is an obtuse angled isosceles triangle

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Senior Manager
Joined: 30 Oct 2004
Posts: 284

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20 Oct 2005, 20:08
The triangle is an obtuse angled isosceles triangle

7 > 4.. so picturize the triangle with the angle between the two equal sides > 90.
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-Vikram

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VP
Joined: 13 Jun 2004
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Location: London, UK
Schools: Tuck'08

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20 Oct 2005, 21:47
agree with obtuse

if you don't know how to solve it, use your knowledge.
draw a right isoceles triangle, it should be 4,4, and the last side should be squre root(32)
Now we have 7 which is squre root (49), so we know this triangle is not a right triangle but we also know that the side is bigger so the angle has to be bigger than 90 degrees so obtuse

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Current Student
Joined: 29 Jan 2005
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20 Oct 2005, 21:52
Great explanation Antoine!

It must be a stubbornly obtuse triangle.

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Senior Manager
Joined: 05 Aug 2005
Posts: 410

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21 Oct 2005, 14:53
OA is C, it is obtuse, thanks for explaining this

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21 Oct 2005, 14:53
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# If the sides of a triangle are 4, 4 and 7 units

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