Question

The perimeter of a triangle is between 10in and 15in inclusively. If two of the sides of the triangle are 3.7 in and 5.2in, find the range of possible measurements of the third side

Answer 1

Given :

The perimeter of a triangle is between 10 inch and 15 inch inclusively.

To Find :

If two of the sides of the triangle are 3.7 in and 5.2 in, find the range of possible measurements of the third side.

Solution :

Let, third side is x.

So, by given constraint of perimeter :

10 ≤ ( x + 3.7 + 5.2 ) ≤ 15

10 ≤ x + 8.9 ≤ 15

1.1 ≤ x ≤ 6.1

Therefore, the range of possible measurements of the third side is in between 1.1 and 6.1 inclusively.

Hence, this is the required solution.