Question

4. If the perimeter of a triangle is
6 2/3cm
and the lengths of two of its sides are
2 1/2-cm and 3 1/3- cm, find the length of the third side.





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Answer 1

Answer:

Length of third side = ⅚ cm

Answer 2

Given:

The perimeter=6 2/3 cm

Lengths of two sides=2 1/2 cm and 3 1/3 cm

To find:

The length of the third side

Solution:

The length of the third side is 5/6 cm.

We can find the side by following the steps given below-

We know that the perimeter of a triangle is the sum of all three sides of the given triangle.

Let us assume that the third side of the triangle is X.

The perimeter of the triangle= 6 2/3 cm

=20/3 cm

The first side of the triangle= 2 1/2 cm

=5/2 cm

The second side of the triangle=3 1/3 cm

=10/3 cm

Now, the perimeter of the triangle=First side+ second side+third side

On putting the values,

20/3=5/2+10/3+X

40/6=15/6+20/6+X

40/6=35/6+X

40/6-35/6=X

5/6=X

So, the third side is 5/6 cm.

Therefore, the length of the third side is 5/6 cm.