Question

In triangle XYZ, the length of side XY is 25 mm and the length of side YZ is 35 mm. Which of the following could be the length of side XZ?

Answer 1

Answer:

The length of side XZ should be greater than 10 and lesser than 60.

Step-by-step explanation:

In triangle XYZ ,

As

The length of side XY = 25 mm

The length of side YZ = 35 mm

Range of the third side can be computed when we already know the two sides of the triangle.

If subtracting  $35 - 25 = 10$, the 3rd side would have to be more than 10. Else 3rd side can not be made as two smaller legs will not meet.

and

If adding  $35 + 25 = 60$, the 3rd side would have to be less than 60. Else 3rd side will reach further than the the other two sides could reach.

Therefore, the length of side XZ should be greater than 10 and lesser than 60.