To find the length of the longest side, we need to determine the value of the extended ratio.
The extended ratio in this case is 3:10:12, which means that the length of the sides can be represented as 3x, 10x, and 12x, where x is a common factor.
The sum of the lengths of the sides of a triangle is the perimeter.
Therefore, we have the equation:
3x + 10x + 12x = 400
Combining like terms, we get:
25x = 400
To isolate x, we divide both sides of the equation by 25:
x = 400/25
x = 16
Now we can find the length of the longest side:
12x = 12 * 16 = 192 cm
Therefore, the length of the longest side is 192 centimeters.
the lengths of the sides of a triangle are in the extended ratio 3:10:12. The perimeter is 400 cm. what is the length of the longest side in centimeters
1 answer
1 answer