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Use similar triangles and a proportion to find the length of the lake shown here.
(Hint: The side 92 m long in the smaller triangle corresponds to side of 92 m + 112 m = 204 m in the larger triangle.)
N= m

Use Similar Triangles And A Proportion To Find The Length Of The Lake Shown Here Hint The Side 92 M Long In The Smaller Triangle Corresponds To Side Of 92 M 11 class=

Sagot :

Answer: n = 152 m

Step-by-step explanation:

write a proportion to find n.

46/n = 92/204

n = 102 m

The length of the lake shown in the provided image using similar triangles and a proportion is 102 meters.

What is similar triangle's proportion property?

In the two similar triangle, the ratio of two sides of one triangle is equal to the ratio of corresponding sides of the other triangle.

In the figure shown,

  • The length of the base of the smaller triangle is 92 meters,
  • The height of this triangle is 46 meters.

The total length of the base of the larger triangle is,

[tex]112+92=204\rm\; m[/tex]

The height of this triangle is n meters, which is equal to the length of lack. Thus, by the similar triangle proportion property,

[tex]\dfrac{n}{204}=\dfrac{46}{92}\\n=\dfrac{46\times204}{92}\\n=120\rm\; meters[/tex]

Thus, the length of the lake shown in the provided image using similar triangles and a proportion is 102 meters.

Learn more about the similar triangle here;

https://brainly.com/question/14285697

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