The triangles shown in the illustration are congruent. The sides of the triangles are $a = 3$ , $b = 13$ , and $c = 3$ .
So $d = 14$ .

Question

The triangles shown in the illustration are congruent. The sides of the triangles are $a = 3$ , $b = 13$ , and $c = 3$ .  
So $d = 14$ .

Quizplus · Accepted Answer

According to the given information, the sides of the triangles are $a=3$, $b=13$, and $c=3$, which is impossible since by the triangle inequality theorem, the sum of any two sides of a triangle must be greater than the third side. Here, $a+c=6<13=b$ which violates the inequality theorem, so the given information is incorrect. Therefore, we cannot conclude whether $d=14$ or not.

The Triangles Shown in the Illustration Are Congruent a=3a = 3a=3

The Triangles Shown in the Illustration Are Congruent $a = 3$