Question

In the given figure, triangle ABD and triangle ACB are right-angled triangle and AC=BD. prove that triangle ABD and triangle BAC are congruent.

Answer 1

HEY MATE
HERE'S YOUR ANSWER
IN ABD and BAC
AC = BD (GIVEN)
ANGLE C = ANGLE D ( EACH 90 )
AB = AB. (COMMON )
ABD congruent BAC
MARK ME AS BRAINLIEST

Answer 2

Answer:

Proved by RHS congruency rule.

Step-by-step explanation:

Given triangle ABD and triangle ACB are right-angled triangle and AC=BD. we have to prove that triangle ABD and triangle BAC are congruent i.e ΔABD≅ΔBAC

In ΔADB and ΔBCA

∠D=∠C        (∵ each 90°)

AB=AB         (∵common)

BD=AC         (given)

By RHS rule which states that if hypotenuse and one side of both right angled triangle are equal then both right angled triangle are congruent.

∴ ΔABD≅ΔBAC