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secondary 2 | Maths
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Help Ashvath Seenivasagam! Anyone can contribute an answer, even non-tutors.
This is a Olympiad question, please help ASAP
Date Posted: 3 years ago
Views: 229
The following are possible :
①All sides are equal length (equilateral triangle)
5,5,5
17,17,17
19,19,19
② Every side is different (scalene triangle)
5,17,19
③ Two sides are equal (isosceles triangle)
5,5,17
5,5,19
17,17,5
19,19,5
17,17,19
19,19,17
In total there are 10 different types of non-congruent triangles.
①All sides are equal length (equilateral triangle)
5,5,5
17,17,17
19,19,19
② Every side is different (scalene triangle)
5,17,19
③ Two sides are equal (isosceles triangle)
5,5,17
5,5,19
17,17,5
19,19,5
17,17,19
19,19,17
In total there are 10 different types of non-congruent triangles.
triangle inequality rule … the sum of length of any 2 sides must be greater than the length of the third side. therefore …
5,5,17
5,5,19
… cannot form triangles
total triangles = 10 - 2 = 8
option (C) is correct.
5,5,17
5,5,19
… cannot form triangles
total triangles = 10 - 2 = 8
option (C) is correct.
True. Didn't consider that.
Technically you can still form at least 10 types, but for those two the bottom rod is longer than the non-equal base. Which means it wouldn't satisfy the question requirements.
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