Question

The number of possible triangles with any three of the lengths 1.2 cm, 4.2 cm, 5.9 cm and 8.1 cm is

Answer 1

Answer:

one triangle

Step-by-step explanation:

the sum of two sides should be greater than third side.

Answer 2

only one triangle is possible with these length.

Step-by-step explanation:

The number of possible triangles with any three of the lengths 1.2 cm, 4.2 cm, 5.9 cm and 8.1 cm

A triangle has three sides

$^4C_3$= 4 ways or 4 combinations is possible

but for a triangle length of the sum of two side is greater  than third side

possible combinations :

1.2 ,4.2,5.9

$1.2+4.2< 5.9$    (not possible)

1.2,4.2,8.1

$1.2+4.2< 8.1$  (not possible)

1.2,5.9,8.1

$1.2+5.9< 8.1$  (not possible)

4.2,5.9,8.1

$4.2+5.9> 8.1$ (possible)

here the condition of a triangle is satisfied

hence,

only one triangle is possible with these length.

#Learn more:

Two sides of a triangle are of length 5.2 CM 4.2 cm and 1.8 cm is this a right triangle justify

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