Final answer:
To find the length of g in triangle EFG, we can use the Law of Cosines.
Step-by-step explanation:
To find the length of g in triangle EFG, we can use the Law of Cosines. The Law of Cosines states that in a triangle, the square of one side is equal to the sum of the squares of the other two sides minus twice the product of the lengths of those sides multiplied by the cosine of the included angle.
Therefore, to find g, we can use the formula: g² = e² + f² - 2ef * cos(g).
Plugging in the values given in the question:
g² = (300 cm)² + (910 cm)² - 2(300 cm)(910 cm) * cos(152°)
Calculating this expression will give us the square of g. Taking the square root of that value will give us the length of g, rounded to the nearest centimeter. The length of side g, to the nearest centimeter, is approximately 1139 cm.