Question

Is it possible to construct a triangle with length of its sides as 5.4cm 6.6cm, 13cm

Answer 1

let
AB = 5.4 cm
BC = 6.6 cm
AC = 13 cm
CASE I
Since the sum of any two sides of triangle is always greater than third side.
AB + BC > AC
5.4 + 6.6 > 13
12 < 13
But In this case sum of two sides of triangle is not greater than third side.
Thus, It is not possible to construct a Triangle.

Answer 2

Answer:

Let

AB = 5.4 cm

BC = 6.6 cm

AC = 13 cm

CASE I

Since the sum of any two sides of triangle is always greater than third side.

AB + BC > AC

5.4 + 6.6 > 13

12 < 13

But In this case sum of two sides of triangle is not greater than third side.

Thus, It is not possible to construct a Triangle.

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