What kind of triangle is given here?
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What kind of triangle is given here?
Since none of the sides have the same length, it is a scalene triangle.
Scalene triangle
Choose the appropriate triangle according to the following:
Angle B equals 90 degrees.
Great observation! Let's check the triangle inequality: the sum of any two sides must be greater than the third side. Here: 5 + 5.5 = 10.5, but 10.5 < 11. This means these sides cannot form a triangle!
Equilateral: All 3 sides equal
Isosceles: Exactly 2 sides equal
Scalene: All 3 sides different
Think: Scalene = all sides on different scales!
Sometimes questions test whether you know the triangle inequality rule. If the sides don't satisfy this rule, the correct answer would be 'The shape is not a triangle'.
No! Always use the labeled measurements given in the problem. Diagrams are often not to scale, so measuring with a ruler would give incorrect results.
Yes! A triangle can be both scalene (all sides different) and right-angled. The classification by sides (scalene/isosceles/equilateral) is separate from classification by angles.
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