Question

From the given data, draw a rough figure, mark the measurements and examine whether the two triangles are congruent or not by using SAS congruence rule. If the triangles are congruent, write them in symbolic form.

$∆ABC$
$AB=7cm,BC=5cm,\angle B=50°$

$∆DEF$
$DE=5cm,EF=7cm,\angle E=50°$

Answer 1

Step 1: Drawing the rough figure

Step 2: Checking the congruency

In $∆ABC$ and $∆FED$

From the figure,

$AB=FE$

$\angle B=\angle E$

$BC=ED$

Therefore, by SAS congruence condition $∆ABC\cong ∆FED$