The perimeter of a square is equal to the perimeter of an equilateral triangle. What is the side of this triangle
The perimeter of a square is equal to the perimeter of an equilateral triangle. What is the side of this triangle if the side of the square is 3 cm?
To solve this problem, you need to know some geometric formulas.
First, we need to create a short condition:
Psquare = P equilateral triangle -? centimeters;
square – 3 centimeters;
square -? centimeters;
Let’s remember what a perimeter is:
The perimeter is the sum of the lengths of all sides;
Thus, the formula for the perimeter of a square will be:
P = 4a;
Find the perimeter of the square:
P = 4 * 3 = 12 centimeters;
Since the perimeter of the square is equal to the perimeter of an equilateral triangle, we find the side of the triangle:
To do this, recall the formula for the perimeter of an equilateral triangle:
P = 3a;
12 = 3a;
a = 4 centimeters;
Answer: 4 centimeters;