Home
Class 9
MATHS
In an isosceles triangle ABC, with AB = ...

In an isosceles triangle ABC, with AB = AC, the bisectors of `/_ B and /_ C` intersect each other at O. Join A to O. Show that :
(i) OB = OC (ii) AO bisects `/_A`

Answer

Step by step text solution for In an isosceles triangle ABC, with AB = AC, the bisectors of /_ B and /_ C intersect each other at O. Join A to O. Show that : (i) OB = OC (ii) AO bisects /_A by MATHS experts to help you in doubts & scoring excellent marks in Class 9 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIANGLES

    NCERT TAMIL|Exercise EXERCISE - 7.3|7 Videos

  • TRIANGLES

    NCERT TAMIL|Exercise EXERCISE - 7.4|7 Videos

  • TRIANGLES

    NCERT TAMIL|Exercise EXERCISE - 7.1|11 Videos

  • THE ELEMENTS OF GEOMETRY

    NCERT TAMIL|Exercise BRAIN TEASER|2 Videos

  • TRIGONOMETRY

    NCERT TAMIL|Exercise EXERCISE 6.5 (MULTIPLE CHOICE QUESTIONS)|10 Videos

Similar Questions

Explore conceptually related problems

In an isosceles triangle ABC with AB = AC, D and E are points on BC such that BE = CD (see figure) Show that AD = AE

squareABCD is a trapezium in which AB|| DC and its diagonals intersect each other at points O . Show that AO : BO = CO : DO.

Knowledge Check

  • If Delta ABC is an isosceles triangle with hat(C ) = 90^(@) and AC = sqrt(8) cm then AB is :

    A
    4 cm
    B
    4.5 cm
    C
    `sqrt(8)` cm
    D
    16 cm

    • Similar Questions

    Explore conceptually related problems

    DeltaABC is an isosceles triangle in which AB = AC. Show that /_ B = /_ C.

    AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that, (i) AD bisects BC (ii) AD bisects /_ A.

    The diagonals of a quadrilateral ABCD intersect each other at point ‘O’ such that (AO)/(BO) = (CO)/(DO) . Prove that ABCD is a trapezium

    In the given Figure AB and CD are intersecting at ‘O’, OA = OB and OD = OC. Show that (i) Delta AOD ~= DeltaBOC and (ii) AD || BC .

    If Delta ABC is an isosceles triangle with angle C=90^(@) and AC=5 cm, then AB is

    In an isosceles triangle ABC, the coordinates of the points B and C on the base BC are respectively (1, 2) and (2. 1). If the equation of the line AB is y= 2x, then the equation of the line AC is

    In the figure, ABC is a triangle in which AB= AC. Points D and E are points on the side AB and AC respectively such that AD=AE. Show that points B, C, E and D lie on a same circle.

    Home
    Profile