SOLUTION: A triangle has angles measuring 10°, 40°, and 130° with side lengths of 23 cm, 84 cm, and 100 cm. Classify this triangle by its angles and sides.

Question 1151301: A triangle has angles measuring 10°, 40°, and 130° with side lengths of 23 cm, 84 cm, and 100 cm. Classify this triangle by its angles and sides.
Found 4 solutions by MathLover1, jim_thompson5910, ikleyn, Alan3354:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

A triangle:
has angles measuring °, °, and °
side lengths of cm, cm, and
Classify this triangle by its angles and sides.
as you can see, all sides have different length and all angles have different measures, so triangle with all sides a different length is called
Scalene Triangle:
No equal sides
No equal angles
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

@MathLover1 is correct in saying the triangle is scalene; however, the triangle is also obtuse because of the 130 degree angle. Any triangle that has an angle larger than 90 degrees is considered obtuse.

The more accurate answer is: Obtuse scalene triangle. You can also say "scalene obtuse triangle".

Answer by ikleyn(52797)   (Show Source): You can put this solution on YOUR website!
.

Looking into the side lengths, you conclude that the triangle is scalene (has different side lengths).

Looking into angle measures, you conclude that the triangle is obtuse (has one angle measure greater than 90°).

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As Alan asks, if this assignment teaches you to something essential and useful, the answer is "YES".

It teaches you to use right terms --- and hence, to express your thoughts correctly . . .

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
It's a scalene triangle because there are not 2 equal sides or angles.
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And, it'a an obtuse scalene triangle because one angle is greater than 90 degs.
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It's important that you know this, because if you don't, then ??????
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Useless.
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It's a fictional triangle, since
100/sin(130) <> 84/sin(40) <> 23/sin(10)

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