Question

Is the triangle an equilateral triangle

The triangle (options is or is not) an equilateral triangle
Justify your answer

Answer 1

`\large \boxed{\sf Not \ an \ equilateral \ triangle}`

Explanation:

Set two side lengths equal to one another

`2x+5.2=3x+1.5`

Solve for x

Let x = 4 in the first side length

`2(3.7)+5.2=12.6`

Let x = 4 in the third side length

`2(3.7)+6.2=13.6`

Both side lengths are unequal so the triangle is not an equilateral triangle.

Answer 2

It is not an equilateral triangle. To prove this, you must solve for x. I found x by setting 2x+5.2 = 3x+1.2 to get x=4. Then I plugged 4 into equation to see if they were equal. 2(4)+5.2= 13.2 and 3(4)+1.3=13.2 but 2(4)+6.2=14.2. This allows us to conclude that the triangle is not equilateral because all of the sides are NOT congruent. Hope that helped:))