in triangle abc which of the following is true 1 AC +BC greater and AC 2 AB+BC greater than AC 3 AB+AC greater than BC 4 AC+BC greater than

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in triangle abc which of the following is true 1 AC +BC greater and AC 2 AB+BC greater than AC 3 AB+AC greater than BC 4 AC+BC greater than AB​

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Evelyn 3 weeks 2021-09-06T04:50:19+00:00 1 Answer 0 views 0

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    2021-09-06T04:51:47+00:00

    Taking ∆OBC

    1) OB+OC>BC ………Sum of the two sides of a triangle is greater than the third side

    In ∆OAC

    2) OA+ OC> AC ……reason same as above.

    In ∆OAB

    3 ) OA +OB >AB ……..reason same as above

    Adding 1) 2) & 3)

    OB+OC +OA +OC+OA+OB > BC +AC+ AB

    2OA+2OB + 2OC >AB+ BC+ AC

    Dividing both sides by 2

    (OA + OB +OC)>1÷2(AB +BC+AC ) proved.

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