Question

the length of two sides of a triangle are 4 cm and 6 cm. between what two measures should the length of the third side fall?

Answer 1

Answer:

The third important property of triangles is the triangle inequality rule, which states two measurements:

1. The length of a side of a triangle is less than the sum of the lengths of the other two sides.
2. The length of a side of a triangle is greater than the difference of the lengths of the other two sides.

That means, the length of the third side of the triangle (let, C),

C<4+6 and, C>6-4 or 4-6

Hope this is the answer you were looking for!

Answer 2

Answer:

2<x<10

Step-by-step explanation:

We are given that the length of two sides of a triangle are 4 cm and 6 cm.

Let the third side be x

Property of sides of triangle :

1. The length of a side of a triangle is less than the sum of the lengths of the other two sides.

So, x < 4+6

x<10

2 .The length of a side of a triangle is greater than the difference of the lengths of the other two sides.

So, x>6-4

x>2

So, 2<x<10

Hence the length of the third side fall between  2 and 10 i.e.  2<x<10