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pychu [463]
3 years ago
9

Find n (write in simplest radical form)

Mathematics
1 answer:
iragen [17]3 years ago
7 0
This is a special right triangle called a 30-60-90 triangle. It has a special property the relates the ratio of side lengths. That ratio is 1:\sqrt{3}:2

What does this mean? If you know the shortest side of a 30-60-90 triangle, you can find the longer leg by multiplying it by \sqrt{3}, and you can find the hypotenuse by multiplying the short leg by 2.

In the picture, note that the short leg of the triangle has a length of 9. Therefore, the long leg(or n) is simply 9\sqrt{3}
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Answer: 6496/375

Hope this helps :)

Step-by-step explanation:

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Read 2 more answers
Explain why the triangles are similar then find out the distance represented by x​
elena55 [62]

Because the only difference between them is size so the basic form of the shape remains, having corresponding sides in proportion.

<h2>Explanation:</h2>

Two triangles are similar if the only difference between them is size. Put another way, the basic form of the shape remains. If this is true, then:

  • Corresponding angles are congruent
  • Corresponding sides are in proportion

Since you didn't provide any graph, I have attached two similar triangles below. As you can see they are right triangles. As we said, corresponding sides of similar triangles are in proportion, so it is true that:

\frac{9}{3}=\frac{12}{4}=\frac{x}{5}=3 \\ \\ \therefore \frac{x}{5}=3 \\ \\ \therefore x=5(3) \\ \\ \therefore \boxed{x=15}

<h2>Learn more:</h2>

Right and scalene triangles: brainly.com/question/10379190

#LearnWithBrainly

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