Question

two sides of a triangle are 7 cm and 25 CM then the number of all possible integral values of third side of the triangle is

Answer 1

Between ( 7cm+25cm) and (25cm-7cm),

32 and 18

Hence 13 integral values

Answer 2

Define x:

Let the third side be x

The rule of triangle says that the sum of 2 sides must be greater than third side.

Find the possible value of x:

7 + 25 > x

32 > x

x < 32

7 + x > 32

x > 32 - 7

x > 25

25 + x > 7

25 is already greater than 7

From the above, we conclude that 25 > x > 32

⇒ x can be 26, 27, 28, 29, 30 and 31

Answer: x can be 26, 27, 28, 29, 30 and 31