Question

3. 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?
please solve this with explanation ​

Answer 1

Answer:

(2cm , 10cm)

Step-by-step explanation:

According to the inequality rule in triangles, one side of a triangle cannot be -

(i) equal to or more than the sum of the other two sides                and

(ii) equal to or less than the difference of the other two sides

Using the above rule, we can find out that the third side of the mentioned triangle cannot be equal to or more than  10cm and cannot be equal to or less than 2 cm

Answer 2

Hello Friend

Hope this helps you

Let the sides of the triangle be a1, a2 and a3.

We know that a1 + a2 > a3

a3 + a1 > a2

a2 + a3 > a1

therefore depending of this, we can say that the side of the triangle should lie between 3 and 9

Because

6-4=2

so we have to add 1 to verify the property mentioned above

also,

6+4=10

so, we have to subtract 1 to verify the above property

Mark me as the brainiest

also follow me

also give this solution a 5 star and thanks