Answer:
Explanation:
The area of a round pizza with a 17 inch diameter is:
A = πr^2 = π(8.5)^2 ≈ 226.98 square inches
To find the length of the sides of a triangle with the same area, we can use the formula for the area of a triangle:
A = (1/2)bh
where b is the base of the triangle and h is the height.
Since the triangle is equilateral (i.e., all sides are equal), the base and height are the same. Let's call this length x. Then:
A = (1/2)bh = (1/2)x(x/2) = x^2/4
Setting this equal to the area of the round pizza, we get:
x^2/4 = 226.98
Multiplying both sides by 4, we get:
x^2 = 907.92
Taking the square root of both sides, we get:
x ≈ 30.13
So the sides of the equilateral triangle should be about 30.13 inches long to have the same area as a round pizza with a 17 inch diameter. Rounded to the nearest inch, the sides of the triangle should be 30 inches long.