Respuesta :

fieryanswererft

Answer:

x = 25.20 m and y = 30.00 m   (rounded to nearest 2 decimal place)

Step-by-step explanation:

As the triangles are similar in shape, their lengths will be proportional to each other and have the same ratio.

Hence equation can be created:
[tex]\sf \dfrac{10.5}{x}=\dfrac{3.5}{8.4}=\dfrac{12.5}{y}[/tex]

Using this solve, find out the values of x and y:

[tex]\rightarrow \sf \dfrac{10.5}{x}=\dfrac{3.5}{8.4}[/tex]

[tex]\rightarrow \sf 10.5=\dfrac{3.5x}{8.4}[/tex]

[tex]\rightarrow \sf x = \dfrac{10.5\cdot8.4}{3.5}[/tex]

[tex]\rightarrow \sf x =25.2[/tex]

---

[tex]\rightarrow \sf \dfrac{3.5}{8.4} =\dfrac{12.5}{y}[/tex]

[tex]\rightarrow \sf y =\dfrac{12.5\cdot 8.4}{3.5}[/tex]

[tex]\rightarrow \sf y =30[/tex]

KitdaAneek
  1. [tex]x=25.2 ~ m[/tex]
  2. [tex]y=30 ~m[/tex]

Step-by-step explanation:

Hey again! Similar triangles just represent proportional values between the sides of the triangles. The angles are the same, but that is not important towards solving this problem. In order to find the proportionality constant c, we must divide the side of the larger triangle by the smaller one and the multiply the sides of the smaller triangle by c to get sides [tex]x ~and ~ y[/tex].

Solving:

We are given two similar sides 3.5 m and 8.4 m.

[tex]c=\frac{8.4}{3.5} = \boxed{2.4}[/tex]

Now to find x and y, we multiply the corresponding sides by c:

[tex]x=10.5~m \times c = 10.5 ~m \times 2.4 = \boxed{25.2 ~m}[/tex]

[tex]y=12.5\times c=12.5\times 2.4 = \boxed{30~ m}[/tex]

That's it!

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