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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?

HELP ME pleaseA flashlight is projecting a triangle onto a wall as shown belowA picture shows a flashlight projecting a triangle onto a wall The original triang class=

Respuesta :

calculista

Answer:

[tex]n=20\ units[/tex]

Step-by-step explanation:

we know that

If two figures are similar, then the ratio o its corresponding sides is proportional, and this ratio is called the scale factor

In this problem the corresponding sides are

12 units and 15 units

16 units and n units

therefore

[tex]\frac{12}{15}=\frac{16}{n}[/tex]

Solve for n

[tex]n=\frac{15*16}{12}[/tex]

[tex]n=20\ units[/tex]

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