An equilateral triangle with side length 2" will have a height of square root 3 inches. A yield sign is an equilateral triangle with perimeter of 5 ft. To the nearest inch, what is the height of the yield sign?
S1+S2+S3 = 5 Ft.
S1 = S2 = S3
S1+S1+S1 = 5
3S1 = 5
S1 = 5/3 Ft. = 20 In. = S2 = S3.
(s/2)^2 + h^2 = S^2
(20/2)^2 + h^2 = 20^2. Solve for h.
That should be correct when you solve. Check every step properly.
To find the height of the yield sign, we can start by finding the side length of the equilateral triangle. Given that the perimeter of the yield sign is 5 ft, we can divide this value by 3 since an equilateral triangle has three equal sides.
Perimeter of the triangle = 5 ft
Side length of the triangle = Perimeter / 3 = 5 ft / 3 = 1.67 ft
Now, we can find the height of the yield sign by using the relationship between the height and the side length of an equilateral triangle. The height of an equilateral triangle is given by the formula:
Height = (sqrt(3) / 2) * Side length
Using this formula, we can substitute the side length of the triangle that we found earlier:
Height = (sqrt(3) / 2) * 1.67 ft
Calculating the height:
Height ≈ (1.732 / 2) * 1.67 ft
Height ≈ 0.866 * 1.67 ft
Height ≈ 1.445 ft
To the nearest inch, the height of the yield sign is approximately 1 foot and 5 inches.