Question

ABCandDBCare two isosceles triangles on the same base BC .shw that​

Answer 1

Answer:

answr

LOGIN

JOIN NOW



What would you like to ask?

7th

Maths

Congruence of Triangles

Criteria for Triangle Congruence

ABC and DBC are two isosce...

MATHS

Asked on October 15, 2019 bySupraja Maddela

△ABC and △DBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC. If AD is extended to intersect BC at P, show that

(i) △ABD≅△ACD

(ii) △ABP≅△ACP

(iii) AP bisects ∠A as well as △D.

(iv) AP is the perpendicular bisector of BC.



MEDIUM

Share

Study later

VIDEO EXPLANATION



ANSWER

(i) 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          .....[c.a.c.t]......(i)

(ii) In △ABP and △ACP, 

AB=AC          ...(since △ABC is isosceles)

AP=AP         ...(common side)

∠BAP=∠PAC      ....from (i)

△ABP≅△ACP    .... SAS test of congruence

∴BP=PC      ...[c.s.c.t].....(ii)

∠APB=∠APC     ....c.a.c.t.

(iii) Since 

Answer 2

Answer:

the answer above is correct