In a triangle, one side is 1.9 m and the other 0.7 m. Find the third side, knowing that its length

In a triangle, one side is 1.9 m and the other 0.7 m. Find the third side, knowing that its length is an integer number of meters.

We will use the theorem that the sum of the lengths of the two sides of a triangle is greater than the length of the third side.

Find the sum of the two sides of the triangle.

1.9 m + 0.7 m = 2.6 m.

Because by condition, the length of the third side is equal to an integer, then it is either 1 m or 2 m.

Let’s check if it is possible to construct a triangle with sides 1.9 m, 0.7 m and 1 m (check if the theorem holds).

1.9 + 0.7 = 2.6> 1;

1.9 + 1 = 2.9> 0.7;

1 + 0.7 = 1.7 <1.9.

This means that you cannot build a triangle with sides 1.9 m, 0.7 m and 1 m.

Let’s check if it is possible to build a triangle with sides 1.9 m, 0.7 m and 2 m.

1.9 + 0.7 = 2.6> 1;

1.9 + 2 = 3.9> 0.7;

0.7 + 2 = 2.7> 1.7.

Answer: the third side of the triangle is 2 m.