Question

the adjoining figure, ABC is a triangle and AP is an altitude. Prove that AB + BC + CA > 2 AP.​

Answer 1

Step-by-step explanation:

In∆ABP

AB+ BP > AP.... ..(1)

In ∆ ACP

AP + CP > AP...(2)

By adding the equation 1 & 2 we get

AB + AC +( BP+CP) > 2AP

where BP +CP = BC ( acc. to figure)

Hence ... AB + BC + CA > 2 AP

PROVED✓✓