In the given figure, ABC and DCB are right angled at A and D respectively and AC=DB. Prove that triangle ABC is congruent to traingle DCB.:

Question

In the given figure, ABC and DCB are right angled at A and D
respectively and AC=DB Prove that triangle ABC is congruent to
traingle DCB :

Santanu Sahoo · Accepted Answer

Hi,

Here is the solution:

Given: Triangles ABC and DCB are right
angled at A and D, respectively
AC=DB

To prove: △ABC ≅△DCB

In △ABC and △DCB:

∠CAB=∠BDC (90° each)

BC=BC (common)

AC= DB (given)

By R H S congruence property: △ABC
≅△DCB

Important tip (as per the chapter): Learn and revise all the
congruence rules Solve and practice all the examples and question
given in N C E R T Textbook (Maths)

Cheers!!