The ratio of the side lengths of a triangle is 2 : 3 : 4. The shortest side is 15 inches. What is the perimeter?
15 + 22.5 + 30 = _______ inches
Thanks this helped alot
it is wrong
To find the perimeter of the triangle, we need to know the lengths of all three sides. We are given the ratio of the side lengths as 2 : 3 : 4.
Let's assume the lengths of the sides are 2x, 3x, and 4x, where x is a constant.
According to the given information, the shortest side is 15 inches. We can set up an equation using this information:
2x = 15
To find the value of x, we divide both sides of the equation by 2:
x = 15/2 = 7.5
Now we can find the lengths of all three sides by substituting the value of x into the ratios:
Shortest side: 2x = 2 * 7.5 = 15 inches
Middle side: 3x = 3 * 7.5 = 22.5 inches
Longest side: 4x = 4 * 7.5 = 30 inches
To find the perimeter, we add up the lengths of all three sides:
Perimeter = Shortest side + Middle side + Longest side
Perimeter = 15 + 22.5 + 30
Perimeter = 67.5 inches
Therefore, the perimeter of the triangle is 67.5 inches.