In equilateral triangle ABC, AB=3x and BC= 2x=12. Find the numerical value of the perimeter of ABC.
x=6
so i believe the answer would be
18+12+12 which equals 42
im not for sure though but that's how i think you would do it
If BC = 12, then each side = 12 and the
perimeter would be 3 * 12 = 36. please
check your problem.
I think Troy has a typo
and it should say
BC = 2x+12
so 3x = 2x+12
x = 12
any other interpretation will lead to a contradiction, since the triangle is equilateral.
perimeter = 36
To find the numerical value of the perimeter of triangle ABC, we need to determine the lengths of all three sides (AB, BC, and CA), and then add them together.
Given that AB = 3x and BC = 12, we first need to find the value of x. Since it is mentioned that triangle ABC is an equilateral triangle, all sides are of equal length.
To find x, we can set up an equation:
AB = BC
3x = 12
Now, we can solve for x:
Divide both sides of the equation by 3:
3x/3 = 12/3
x = 4
Now that we have the value of x, we can substitute it back into AB = 3x to find AB:
AB = 3 * 4
AB = 12
Similarly, since it is an equilateral triangle, we know that CA = AB = 12.
Now, we can calculate the perimeter:
Perimeter = AB + BC + CA
Perimeter = 12 + 12 + 12
Perimeter = 36
Therefore, the numerical value of the perimeter of triangle ABC is 36.