Read Counting valid (scalene) triangles from a set of distinct segment lengths usin
This SEHSS pattern tests Systematically checking a+b>c for all C(6,3) triples of six distinct lengths to count valid, automatically-scalene triangles. Read the condition carefully, then use the method below before you solve.
Mathematics questions are solved by expressing every restriction precisely before transforming or counting.
Find the tested idea
Translate the wording into variables, a diagram or a counting condition before manipulating expressions.
Build the solution
Use one exact relationship at a time. Organise cases so they are complete and non-overlapping, then test every candidate against the original condition.
Verify before choosing
Return to the exact wording and check that the conclusion satisfies every stated condition, unit and definition.
OlympIQ exam lens
- ✓State variables and restrictions.
- ✓Apply one justified step at a time.
- ✓Check every answer in the original problem.
A transformed equation or counted case is valid only if it preserves every original restriction.
Ready to try the pattern?
100% coverage across the linked question.
Practise the linked question