Question

In each of the following pairs of right triangles, the measures of some parts are indicated alongside. State by the application of $RHS$ congruence condition which are congruent. State each result in symbolic form.

Answer 1

$1).$ In $△ADB$ and $△ACB$

( Diagram : 1 )

$\Rightarrow \angle D=\angle C$ ( each ${90}^0$ )

$AB=AB$ ( common )

$AD=BC$ ( 4 cm given )

$\therefore △ADB\cong △ACB$ ( By RHS congruency )

$2).$ In $△ADB$ and $△ADC$

( Diagram : 2 )

$\Rightarrow \angle ADB=\angle ADC$ ( each ${90}^0$ )

$AB=AC$ ( 4 cm given )

$AD=AD$ ( common )

$\therefore △ADB\cong △ADC$ ( By RHS congruency )

Hence, solved.