Question

Please help ASAP! If correct will mark brainliest

Answer 1

Answer:

5

Step-by-step explanation:

We need to find the value of AP

First, lets compare the perimeters:

• P_ABC= AB+BC+AC= 45
• P_ABP= AB+BP+AP = 25
• P_APC= AP+AC+PC= 30

Sum of the perimeters of smaller triangles:

• P_ABP+P_APC= AB+BP+AP+ AP+AC+PC

As BP+PC= BC we can put it as:

• AB + BC +AC + 2AP

and

• P_ABC+2AP

Plug in values of perimeters:

• 25+30= 45+ 2AP
• 2AP= 10
• AP= 10/2
• AP= 5

Answer is: 5