Question

ABC and DBC are two isosceles triangles on the same base BC. shon
that angle ABD= angle ACD​

Answer 1

Answer:

.Abc is an isosceles triangle

Answer 2

Step-by-step explanation:

(i) In △ABD and △ACD, AB=AC ....(since △ABC is isosceles)

In △ABD and △ACD, AB=AC ....(since △ABC is isosceles) AD=AD ....(common side)

In △ABD and △ACD, AB=AC ....(since △ABC is isosceles) AD=AD ....(common side)BD=DC ....(since △BDC is isosceles)

ΔABD≅ΔACD .....SSS test of congruence,

∴∠BAD=∠CAD i.e. ∠BAP=∠PAC

BAD=∠CAD i.e. ∠BAP=∠PAC hence ABD & DBC ARE TWO ISOSCELES TRIANGLE