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vichka [17]
3 years ago
5

An equilateral triangle has a length of 18 feet, determine the length of the triangle

Mathematics
2 answers:
Alenkasestr [34]3 years ago
5 0
The remaining lengths within an equilateral triangle are all the same. Each of the side lengths are also 18 feet, hence the name equal lateral sides.
ivanzaharov [21]3 years ago
4 0
Hello Delanew,

Do you mean the altitude of the triangle, since you are already given the length?

If you are looking for an altitude, you can start by drawing it in your triangle. You will see that it divides the triangle into two 30, 60, 90 triangles. The short leg of the triangle is 6, so using the rules for a 30, 60, 90 triangle the longer leg (your altitude) would be 6 square roots of 3. Or about 10.39.

If this isn't what you are looking for, let me know.
I can try and help.

Good luck!
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Find the distance and midpoint of a segment with the following endpoints: (5,-1) and (-9,-1)
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Answer:

d = 14

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General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Distance Formula: d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
  • Midpoint Formula: (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Step-by-step explanation:

<u>Step 1: Define</u>

(5, -1)

(-9, -1)

<u>Step 2: Find distance </u><em><u>d</u></em>

  1. Substitute:                    d = \sqrt{(-9-5)^2+(-1-(-1))^2}
  2. Simplify:                        d = \sqrt{(-9-5)^2+(-1+1)^2}
  3. Subtract/Add:               d = \sqrt{(-14)^2+(0)^2}
  4. Evaluate:                       d = \sqrt{196}
  5. Evaluate:                       d = \14

<u>Step 3: Find Midpoint</u>

  1. Substitute:                    (\frac{5-9}{2},\frac{-1-1}{2})
  2. Subtract:                       (\frac{-4}{2},\frac{-2}{2})
  3. Divide:                          (-2,-1)
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3 years ago
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