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In a triangle ABC, if AB,BC and AC are t...

In a triangle ABC, if AB,BC and AC are the three sides of the triangle, then which of the statements is necessarily?

A

`AB+BC ltAC`

B

`AB+BC gt AC`

C

`AB+BC=AC`

D

`AB^(2)+BC^(2)=AC^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • In a triangle ABC, if AB, and AC are the three sides of the triangle, then which of the statements is necessarily?

    A
    `AB+BCltAC`
    B
    `AB+BCgtAC`
    C
    AB+BC=AC
    D
    `AB^2+BC^2=AC^2`

  • If AB, BC and AC be the three sides of a triangle ABC, then which one of the following is true?

    A
    `AB-BC=AC`
    B
    `(AB-BC)gtAC`
    C
    `(AB-BA) ltAC`
    D
    `AB^(2)-BC^(2)=AC^(2)`

  • If AB, BC and AC be the three sides of a triangle ABC, then which one of the following is true?

    A
    AB - BC = AC
    B
    `(AB-BC)gtAC`
    C
    `(AB-BA)ltAC`
    D
    `AB^2-BC^2=AC^2`

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