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

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

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20 Oct 2005, 18:45
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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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20 Oct 2005, 19:02
The triangle is an obtuse angled isosceles triangle
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20 Oct 2005, 19:08
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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20 Oct 2005, 20:47
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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20 Oct 2005, 20:52
Great explanation Antoine!

It must be a stubbornly obtuse triangle.
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21 Oct 2005, 13:53
OA is C, it is obtuse, thanks for explaining this
21 Oct 2005, 13:53
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