Question

In triangle ghi, if g = 820cm, h = 310cm, and i = 640cm, find the measure of angle g to the nearest degree?

Answer 1

To find the measure of angle G in triangle GHI, we can use the Law of Cosines.

Step-by-step explanation:

In triangle GHI, to find the measure of angle G, we can use the Law of Cosines.

The Law of Cosines states that for any triangle with sides a, b, c and angle C opposite side c, the equation is: c^2 = a^2 + b^2 - 2ab*cos(C).

Using the given side lengths, we have: 820^2 = 310^2 + 640^2 - 2(310)(640)*cos(G).

Solving for cos(G) and taking the inverse cosine, we find that the measure of angle G is approximately 13 degrees.