The lengths of the sides of a triangle are in the extended ratio 2:3:8 The perimeter is 195 cm What is the length of the longest side in centimeters
First, let's set up the equation based on the extended ratio:
2x + 3x + 8x = 195
13x = 195
x = 15
Now we can find the length of each side:
2x = 2 * 15 = 30 cm
3x = 3 * 15 = 45 cm
8x = 8 * 15 = 120 cm
Therefore, the longest side of the triangle is 120 cm.