Answer:
3cm < Third side < 7cm
Thus third side can take any value between 3cm and 7 cm
(note: excluding 3 cm and 7 cm)
If the value are integral then possible values of third side are
4cm, 5cm,6cm
Explanation:
This question can be solved using given by Triangle Inequality Theorem Given below.
- Sum of two sides is always greater than value of third side
- Difference of two sides is always less than value of third side
Given two sides are 2cm, 5cm
Sum of two sides = (2+5)cm = 7 cm
Difference of two sides = (5-2) = 3 cm
Let the third side be X
thus according to Triangle Inequality Theorem
X < Sum of two sides of given triangle
X < 7cm -----1
X > Difference of two sides
X > 3cm ----1
combining expression 1 and 2 we have
3cm < X < 7cm
Thus third side can take any value between 3cm and 7 cm
(note: excluding 3 cm and 7 cm)
If the value are integral then possible values are
4c, 5cm,6c