The semi perimeter of a triangle is 10 cm .If one of its sides is 5 cm and 7 cm respectively then its third side is

5+7+x = 10*2

How u solved it yaar

To find the length of the third side of the triangle, we can use the formula for the perimeter of a triangle, which is the sum of all three sides.

The semi-perimeter (s) of a triangle is half of the perimeter. In this case, the semi-perimeter (s) is given as 10 cm.

To find the perimeter (P) of the triangle, we can use the formula P = 2s. Substituting the given value, we have:

P = 2s = 2 * 10 cm = 20 cm

Now we know that the perimeter of the triangle is 20 cm.

We are also given the lengths of two sides, which are 5 cm and 7 cm respectively.

Let's assume that the length of the third side is x cm.

According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Using this inequality, we can set up the following equation:

5 cm + 7 cm > x cm

12 cm > x cm

So, the third side must be less than 12 cm.

However, we also know that the sum of all three sides of a triangle is equal to the perimeter. Therefore, we can set up another equation:

5 cm + 7 cm + x cm = 20 cm

12 cm + x cm = 20 cm

Subtracting 12 cm from both sides of the equation, we get:

x cm = 20 cm - 12 cm

x cm = 8 cm

Therefore, the length of the third side of the triangle is 8 cm.