triangle ABC and triangle ABD are on a common base AB and AC=BD and OC= OD as shown in - Maths - Congruence of Triangles

Question

triangle
ABC and triangle ABD are on a common base AB and AC=BD and OC= OD
as shown in figure ,which one the following statement is true solve
with hint ? (1) triangle OAC congruent triangle OBD (2)TRIANGLE abc
congruent triangle ADB (3) triangle ABC= TRIANGLE BAD (4) none of
these

Manvendra Singh · Accepted Answer

Dear Student,

Please find below the solution to the asked query:
In triangle AOC and triangle OBDAC=BD  given OC=OD given∠COA=∠DOB  vertically opposite angles are sameSo △AOC≅△BOD    option1          AnswerSo ∠ACO=∠ODB
1Now in triangle ABC and triangle BAD∠ACO=∠ODB   froAC=BD  givenAB common  So △ABC≅△BAD    not match with option 2And no meaning of option3

Hope this information will clear your doubts about the topic
If you have any more doubts just ask here on the forum and our
experts will try to help you out as soon as possible

Regards

triangle ABC and triangle ABD are on a common base AB and AC=BD and OC= OD as shown in figure ,which one the following statement is true . solve with hint ? (1) triangle OAC congruent triangle OBD (2)TRIANGLE abc congruent triangle ADB (3) triangle ABC= TRIANGLE BAD (4) none of these