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

The sides of a triangle must satisfy the triangle inequality, which states that the sum of the lengths of any two sides must be greater than the length of the third side. However, in this case, we have $a + b = 3 + 13 = 16 < d = 14$. Therefore, the given sides do not form a valid triangle, let alone congruent triangles.

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

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