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 GUJARATI|Exercise EXERCISE - 7.3|7 Videos

  • TRIANGLES

    NCERT GUJARATI|Exercise EXERCISE - 7.4|7 Videos

  • TRIANGLES

    NCERT GUJARATI|Exercise EXERCISE - 7.1|11 Videos

  • THE ELEMENTS OF GEOMETRY

    NCERT GUJARATI|Exercise BRAIN TEASER|2 Videos

Similar Questions

Explore conceptually related problems

In the given figure AB and CD bisect each other at O. Prove that AC = BD.

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

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

In DeltaABC , the bisectors of angleB and angleC intersect each other at O. Prove that. angleBOC=90^(@)+(1)/(2)angleA .

ABC is an isosceles triangle in which AB=AC bisects exterior angle PAC and CD||AB (See the given figure ). Show that /_DAC = /_BCA

ABC is an isosceles triangle with AB = AC. Draw AP bot BC to show that angle B = angle C

ABCD is a trapezium in which AB||DC and its diagonals intersects each other at the point O. Show that (AO)/(BO)=(CO)/(DO) .

ABC is an isosceles triangle in which AB = AC. AD bisects exterior angle QAC and CD "||" BA as shown in the figure. Show that (i) angleDAC = angleBCA (ii) ABCD is a parallelogram

In triangle ABC, AB = AC and the bisector of angle A lt intersects BC at D. Prove that, ( 1 ) triangle ADB = triangle ADC ( 2 ) angle ABC = angle ACB

ABC is an isosceles triangle in which AB=AC bisects exterior angle PAC and CD||AB (See the given figure ). Show that ABCD is a parallelogram

Home
Profile