How many different triangles exist in which no two sides are of the same length, each side is of integral unit length and the perimeter of the triangle is less than 14 units? : Crackverbal Support

How many different triangles exist in which no two sides are of the same length, each side is of integral unit length and the perimeter of the triangle is less than 14 units? Print

Modified on: Tue, 12 Oct, 2021 at 1:58 PM

CONCEPT:-Geometry
-Sum of two sides is greater than the third side in a triangle

SOLUTION:
Since the perimeter is less than 14 and all the sides are integral with no two sides of same length, we can have the following triangles
(2,3,4)(2,4,5),(2,5,6)
(3,4,5)(3,4,6)

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How many different triangles exist in which no two sides are of the same length, each side is of integral unit length and the perimeter of the triangle is less than 14 units? Print

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