Triangles cde and nop are similar. the perimeter of smaller triangle cde is 133. the length of two corresponding sides on the triangles are 53 and 212. what is the perimeter of nop?

Similar triangles states that the two triangles are similar if their corresponding sides are in proportion.

As per the statement:

The perimeter of smaller triangle CDE is 133.

Since, triangles CDE and NOP are similar.

Corresponding are in proportion i.e

It is also given that the length of two corresponding sides on the triangles are 53 and 212.

⇒

then;

⇒

By cross multiply we get;

Divide both sides by 53 we get;

Therefore, the perimeter of triangle NOP is 532

step-by-step explanation: