HELP ME please!!!!!!!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?
Accepted Solution
A:
Answer:[tex]n=20\ units[/tex]Step-by-step explanation:we know thatIf two figures are similar, then the ratio o its corresponding sides is proportional, and this ratio is called the scale factorIn this problem the corresponding sides are12 units and 15 units16 units and n unitstherefore[tex]\frac{12}{15}=\frac{16}{n}[/tex]Solve for n[tex]n=\frac{15*16}{12}[/tex][tex]n=20\ units[/tex]