Question

What is the perimeter of this equilateral triangle? Choices 4 20 40 60

Answer 1

Answer:

60

Step-by-step explanation:

If it is an equilateral triangle the sides are equal

24-x = 5x

Add x to each side

24-x+x = 5x+x

24 =6x

Divide by 6

24/6 =6x/6

4 =x

Each side is 5x or 5*4 = 20

Add the 3 equal sides

20+20+20 = 60

The perimeter is 60

Answer 2

Answer:

60

Step-by-step explanation:

In this case, to find the perimeter, we need to know the value of at least one side.

Since this triangle is equilateral, $5x=24-x$.

Adding x to both sides results in $6x=24$, and subsequently, $x=4.$

Now that we know x equals 4, we can plug this into either 5x or 24-x and find out that one of the sides is 20.

Equilateral triangles have three equal sides, so 20 times 3, or 60, is the perimeter. I hope this helped!