In the given figure, P is a point on the side BC of a ∆ABC. Prove that:
(AB + BC + AC) < 2AP
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Answer:
Step-by-step explanation:
In ∆CDA, (CD + DA) > AC.
4. As above.
5. 2(AB + BC + CD + DA) > 2(AC + BD).
5. Adding the equations in statements 1, 2, 3 and 4.
6. (AB + BC + CD + DA) > (AC + BD). (Proved)
6. Cancelling the common factor 2.
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