The side of a triangle are in the ratio 2:3:4.If the shortest side measure 6cm,what is the perimeter of the triangle?
What you want to do is cross multiply
since 2/3 = 6/x, when you cross multiply, you get 2x=18 x=9
2:4 = 1:2 so you can just double 6
or
2/4 = 6/x 2x=24 x=12
Therefore the perimeter of the triangle is 6+9+12
Answer: 27
To find the perimeter of the triangle, we need to determine the lengths of all three sides.
Given that the ratio of the sides is 2:3:4, we can assign variables to their lengths. Let's assume the shortest side is 2x, the second side is 3x, and the longest side is 4x, where x is a common factor.
Based on the information given, we know that the shortest side measures 6cm. So we can set up the following equation:
2x = 6
Simplifying the equation, we divide both sides by 2:
x = 6/2
= 3
Now, we can find the lengths of the other two sides:
Shortest side = 2x = 2 * 3 = 6cm
Second side = 3x = 3 * 3 = 9cm
Longest side = 4x = 4 * 3 = 12cm
Finally, we can calculate the perimeter by adding up the lengths of all three sides:
Perimeter = Shortest side + Second side + Longest side
= 6cm + 9cm + 12cm
= 27cm
Therefore, the perimeter of the triangle is 27cm.
let the sides be 2x, 3x, and 4x
perimeter = 9x
given: 2x = 6
so, x = 3
perimeter = 9x = 9(3) = 27