a regular triangle and a regular hexagon have the same perimeter length.If the length of a side of hexagon is 20cm,how long is each side of the triangle?
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20 * 6 = 120
120/3 = ?
To solve this problem, we can start by finding the perimeter of the regular hexagon using the given information that a side of the hexagon is 20cm.
The perimeter of a regular hexagon is given by the formula: P = 6s, where P represents the perimeter and s represents the length of a side.
In this case, the perimeter of the hexagon is equal to 6 times the length of a side, which is 6 * 20cm = 120cm.
Now, we know that the triangle and the hexagon have the same perimeter length. Let's denote the length of each side of the triangle as "x".
Since a regular triangle has 3 equal sides, the perimeter of the triangle is given by the formula: P = 3x.
We already know that the perimeter is equal to 120cm, so we can write the equation as:
3x = 120cm.
To find the length of each side of the triangle, we divide both sides of the equation by 3:
x = 120cm / 3 = 40cm.
Therefore, each side of the regular triangle is 40cm long.