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Bisector of the angles B and C of an iso...

Bisector of the angles B and C of an isosceles triangle ABC with Ab = AC intersect each other at O. Shown that external angle agjacent to `angleABC` is equal to `angleBOC`.

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To prove that the external angle adjacent to angle ABC is equal to angle BOC in an isosceles triangle ABC, where AB = AC, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Triangle**: - Let triangle ABC be an isosceles triangle with AB = AC. - Let the angle bisectors of angles B and C intersect at point O. ...
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Knowledge Check

  • If triangleABC is an isosceles triangle with angle c=90^@ and AC = 5 cm then AB is:

    A
    5 cm
    B
    2.5 cm
    C
    10 cm
    D
    `5^sqrt2 cm`

  • ABC is an isosceles triangle with AB=AC.Side BA is produced to D such that AB=AD. Find m angle BCD .

    A
    `60^@`
    B
    `90^@`
    C
    `120^@`
    D
    can't be determined

  • In parallelogram ABCD, bisectors of angles A and B intersect each other at "O" the value of angle AOB is.

    A
    `90^(@)`
    B
    `30^(@)`
    C
    `60^(@)`
    D
    `120^(@)`

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    The bisectors of /_B and /_C of an isosceles triangle with AB=AC intersect each other at a point O.BO is produced to meet AC at a point M. Prove that /_MOC=/_ABC .

    Triangle ABC is an isosceles triangle with AB=AC . Bisectors of angleB and angleC intersect each other at O. join A-O and prove that AO is bisector of angleA

    Triangle ABC is an isosceles triangle with AB=AC . Bisectors of angleB and angleC intersect each other at O. join A-O and prove that OB=OC

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    In an isosceles triangle ABC, AB = AC and angle A angle B " Find " angle C

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