Question

a two sides of a triangle are of length 5cm and 1•5 cm. the length of the third side of the triangle cannot be.​

Answer 1

Let the triangle be ∆ABC where AB=5 cm. and BC=1.5 cm.

By using property of the length of sides of triangle:-

AB-BC<AC ⠀⠀⠀⠀⠀...(The difference of two sides ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀of triangle is smaller than ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀length of third side)

5-1.5< AC

3.5 cm < AC

Therefore, the length of AC will be greater than 3.5 cm.

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