Question

If ABC & DBC are two
isosceles triangles on the
same base BC then
(a) ABD = ACO
(b) ABD > ACD
(c) ABD < ACD
(d) None of these​

Answer 1

Answer:

<ABD=<ACD

Step-by-step explanation:

GIVEN:

ABC and DBC are two isosceles triangle on the same base BC.

prove:

;. ABC is an isosceles triangle on the base on BC

:. <DBC = <ACB ......(1)

:. DBC is an isosceles triangle on the same base BC.

<DBC = <DBC ...... (2)

Adding the corresponding sides of (1) and (2) We get

<ABC + <DBC = <ACB + <DCB

★ <ABC = <ACD