A flashlight is projecting a triangle onto a wall, as shown below.

A picture shows a flashlight projecting a triangle onto a wall. The original triangle and its projection are similar. The original triangle has 1 side labeled 12 and one side labeled 16. The third side is unlabeled. The projected triangle has 1 side labeled 15 and one side labeled n. The third side is unlabeled. The triangles have congruent angles.

The original triangle and its projection are similar. What is the missing length n on the projection?

A flashlight is projecting a triangle onto a wall, as shown below.

A picture shows a flashlight projecting a triangle onto a wall. The original triangle and its projection are similar. The original triangle has 1 side labeled 12 and one side labeled 16. The third side is unlabeled. The projected triangle has 1 side labeled 15 and one side labeled n. The third side is unlabeled. The triangles have congruent angles.

The original triangle and its projection are similar. What is the missing length n on the projection?

In Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Based on the side, angle, side (SAS) similarity theorem, the ratio of the corresponding sides of two (2) triangles must be equal (proportional) to one another.

By applying the side, angle, side (SAS) similarity theorem to this triangle, we have:

12/16 = 15/n

Cross-multiplying, we have:

12n = 16 × 15

12n = 240

n = 240/12

n = 20.

In conclusion, we can infer and logically deduce that the missing side length n on the projection (triangles) is equal to 20.

Read more on similar triangles here: https://brainly.com/question/13049962

#SPJ1