Two sides of a triangle are oflengths 5 cm and 1.5 cm. The length of the third side ofthe triangle cannot be
Question
Two sides of a triangle are oflengths 5 cm and 1.5 cm. The length of the third side ofthe triangle cannot be
Solution
To find the length of the third side of the triangle, we can use the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, the given lengths of the two sides are 5 cm and 1.5 cm. To determine the possible range of the length of the third side, we can add and subtract these lengths from each other:
5 cm + 1.5 cm = 6.5 cm 5 cm - 1.5 cm = 3.5 cm
Therefore, the length of the third side of the triangle cannot be less than 3.5 cm or greater than 6.5 cm.
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