Question

In the given figure, if $AB=AD$, $BC\perp AB$ and $CD\perp AD$, then

$△ACB\cong △\_\_\_\_\_\_.$

Answer 1

Congruent traingle:

In mathematical terms, the Congruent symbol is ≅

Two right-angled triangles are congruent if the hypotenuse and a leg of one triangle are equal to the hypotenuse and the corresponding leg of the other. This condition is called the RHS criterion.

$AB=AD$

$AC=AC$

$\angle ABC=\angle ADC=90°$

$\therefore$$△ACB\cong △ACD$

Hence,$△ACB\cong △ACD\_\_\_\_\_.$