Question

The ratio of the lengths of the three-line segments 1: 2: 3. If the sum of
their lengths is 12 cm. Can these three-line segments form a triangle


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Answer 1

Answer:

Explanation:

No, these lines cannot form a triangle

Explanation:

If the ratio is 1:2:3,

then for eg the lengths of sides are 2,4,6 cm respectively.

But According to the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side.

So here,

2+4 = 6 = 6

2+6 = 12 > 4

4+6 = 10 > 2

So, no these line segments cannot form a triangle.

I hope this helps:)