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

The length of each side should be
`2(3)/(4)` feet.

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(1)/(4)` so we can find the value of x as shown:

`3x=8(1)/(4)`

`3x=(33)/(4)\\x=(33)/(12)`

The length of each side should be 33/12.

Convert the length into mixed fraction.

`(33)/(12)=2(9)/(12)=2(3)/(4)`

Hence, the length of each side should be
`2(3)/(4)` feet.

Now draw the figure.

Step 1: Draw a straight line with the length of 2.75(
`2(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: