Question

Using three mixed numbers as side lengths draw an equilateral triangle with a perimeter of 8 and 1/4 feet.

Answer 1

so knowing that the perimeter of a triangle is the size of all 3 sides added together amd an equilateral triangle is a triangle in which all 3 sides are the same length you divide 8 and 1/4 feet by 3... or 8.25÷3=2.75 feet or 2 and 3/4 feet

Answer 2

Answer:

The length of each side should be $2\frac{3}{4}$ feet.

Step-by-step explanation:

Consider the provided information.

We need to Use three mixed numbers as side lengths draw an equilateral triangle with a perimeter of 8 and 1/4 feet.

Let the length of each side is x.

Therefore, the perimeter of equilateral triangle will be: x+x+x = 3x

It is given that the perimeter is $8\frac{1}{4}$ so we can find the value of x as shown:

$3x=8\frac{1}{4}$

$3x=\frac{33}{4}\\x=\frac{33}{12}$

The length of each side should be 33/12.

Convert the length into mixed fraction.

$\frac{33}{12}=2\frac{9}{12}=2\frac{3}{4}$

Hence, the length of each side should be $2\frac{3}{4}$ feet.

Now draw the figure.

Step 1: Draw a straight line with the length of 2.75( $2\frac{3}{4}$) unit  .

Step 2: Span the segment with compass and trace a quarter-circle arc from both the end.

Step 3:  Connect the point where two arc cross to the end of the straight line.

The required figure is shown below: