<h2>
Answer:</h2>
<em> The side of the triangle is either 38.63ft or 10.35ft</em>
<h2>
Step-by-step explanation:</h2>
This problem can be translated as an image as shown in the Figure below. We know that:
- The side of the square is 10 ft.
- One of the vertices of an equilateral triangle is on the vertex of a square.
- Two other vertices are on the not adjacent sides of the same square.
Let's call:
Since the given triangle is equilateral, each side measures the same length. So:
x: The side of the equilateral triangle (Triangle 1)
y: A side of another triangle called Triangle 2.
That length is the hypotenuse of other triangle called Triangle 2. Therefore, by Pythagorean theorem:

We have another triangle, called Triangle 3, and given that the side of the square is 10ft, then it is true that:

Therefore, for Triangle 3, we have that by Pythagorean theorem:

Matching equations (1) and (2):

Using quadratic formula:

Finding x from (1):

<em>Finally, the side of the triangle is either 38.63ft or 10.35ft</em>
Vertices are the essentially the corners of a shape. For example, a circle has zero vertices because there are no corners. A square has four because is has four corners, etc.
The 9 pieces of chain will be around 5.6 inches
Answer:
-10
Step-by-step explanation:
Answer:
<em>1</em><em>7</em><em>,</em><em>1</em><em>2</em><em>8</em>
Step-by-step explanation:
<u>p</u><u>o</u><u>r</u><u>q</u><u>u</u><u>e</u><u> </u><u>1</u><u>7</u><u>,</u><u>1</u><u>2</u><u>8</u>
<u>por</u><u>que</u><u> </u><u>2</u><u>,</u><u>1</u><u>4</u><u>1</u><u> </u><u>x</u><u> </u><u>8</u><u> </u><u>=</u><u> </u><u>1</u><u>7</u><u>,</u><u>1</u><u>2</u><u>8</u>
<u>e</u><u>spero</u><u> ter</u><u> ajudado</u><u> e</u><u> bons</u><u> estudos</u>