if sides of a triangle is in the ratio 2,3,4 and shotest side is 6cm then find perimeter of a triangle?
2:3:4 = 6:9:12
27
To find the perimeter of a triangle, we need to know the lengths of all three sides. In this case, we only have the length of the shortest side, which is 6 cm, and the ratios of the sides.
Let's call the lengths of the three sides of the triangle 2x, 3x, and 4x, where x is a common factor. We know that the shortest side is 6 cm, so we can set up an equation:
2x = 6
To solve for x, we divide both sides of the equation by 2:
x = 6/2
x = 3
Now that we know x, we can find the lengths of the other two sides:
3x = 3 * 3 = 9
4x = 4 * 3 = 12
Therefore, the lengths of the three sides of the triangle are 6 cm, 9 cm, and 12 cm.
To find the perimeter, we simply add up the lengths of all three sides:
Perimeter = 6 cm + 9 cm + 12 cm = 27 cm
So, the perimeter of the triangle is 27 cm.