The perimeter of an equilateral triangle is624 centimeters. The height of this triangle isk 3 centimeters, where k is a constant. What is thevalue of k?

The perimeter of an equilateral triangle is equal to three times the length of one side. So, if the perimeter is 624 centimeters, then each side of the triangle (let's call it 'a') is 624/3 = 208 centimeters.

The height (h) of an equilateral triangle can be found using the formula: h = √3/2 * a.

So, in this case, the height of the triangle is k*3 centimeters, where k is a constant.

We can set up the equation √3/2 * a = k*3 to solve for k.

Substituting the value of 'a' we found earlier (208 cm), we get √3/2 * 208 = k*3.

Solving for k, we get k = (√3/2 * 208) / 3 = 60√3.

So, the value of k is 60√3.