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Construct a triangle ABC, in which angle...

Construct a triangle ABC, in which `angleB=60^@` , `angleC=45^@` and AB + BC + CA = 11 cm.

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Draw a line segment `XY` eqaul to `AB+AC+BC=11cm`

Make an angle equal to `/_B=60^@` from point `X`. Let the angle be `/_LXY`
Make an angle equal to `/_=45^@` from point `Y`, Let the angle be `/_MYX`.

Bisect angles `/_LXY` and `/_MYX`. Let the bisectors intersect at point `A`.

Make perpendicular bisector of `AX`. Let it intersect `XY` at point `B`.
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Knowledge Check

  • A DeltaABC can be constructed in which angleB = 60^(@), angleC = 45^(@) and AB + BC + CA = 12 cm .

    A
    true
    B
    false
    C
    may or may not
    D
    none of these

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