Question

If AB = 7 cm, BP = 4 cm, AP = 5.4 cm, compare the segments.

Answer 1

Answer :

AB < AP < BP

Step-By-Step Explanation :

Comparing means to make

From Bigger to Smaller.

Answer 2

Answer:

Given : AB = 7 cm, BP = 4 cm, AP = 5.4 cm

To Find :compare the segments.

Solution:

AB = 7 cm, BP = 4 cm, AP = 5.4 cm

AB>AP>BP

These segments also follows the property of sides of triangle :

1)The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

AB+BP >AP       BP+AP >AB       AB+AP>BP

7+4>5.4             4+5.4>7              7+ 5.4>4

11>5.4                9.4>7                   12.4>4

2)The difference between the lengths of any two sides of a triangle is less than the length of the third side

AB-BP<AP       BP-AP <AB       AB-AP<BP

7-4<5.4             4-5.4<7              7- 5.4<4

3<5.4                -1.4<7                  1.6<4