FAN AND MEDAL Which type of triangle, if any, has side lengths of 11, 15, and 25? equilateral triangle isosceles triangle scalene triangle It's not a triangle.

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FAN AND MEDAL Which type of triangle, if any, has side lengths of 11, 15, and 25? equilateral triangle isosceles triangle scalene triangle It's not a triangle.

Mathematics
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scalene
isocles triangle
Check the Pythagorean theorem, since sqrt(11^2+15^2) does not equal 25 it is not a right triangle. Since two sides are not of equal length it is not an isoceles triangle. Therefore it is a scalene triangle also known as an obtuse triangle.

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scalene
I think it is not a triangle...... @fynfran @mathmate
Check the Pythagorean theorem, since sqrt(11^2+15^2) does not equal 25 it is not a right triangle. Since two sides are not of equal length it is not an isoceles triangle. Therefore it is a scalene triangle also known as an obtuse triangle.
okay.
dont forget to medal/fan
I did.
@vbroberson A triangle needs to satisfy "the sum of lengths of any two sides must be greater than the third". Which we can be verified by checking the sum of the two \(shorter\) sides i greater than the longest side. In this case, 11+15>25, so it \(is\) a triangle. Also, proof that it is obtuse: \(11^2+15^2=346 < 625=25^2\) so not right-angled either. It's scalene because lengths of all three sides are not equal (so not isosceles nor equilateral).

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