Final answer:
Using the Law of Cosines with given side lengths and angle, we can calculate side m, rounding the result to the nearest tenth.
Step-by-step explanation:
To solve for side m in triangle JKM using the Law of Cosines, we have the side lengths j = 21 inches and k = 12 inches, and the angle ∠M = 62° opposite the side m we wish to find. The Law of Cosines formula is:
m² = j² + k² - 2 × j × k × cos(∠M)
Plugging in the values, we get:
m² = 21² + 12² - 2 × 21 × 12 × cos(62°)
Calculating this, we find m² = 441 + 144 - 504 × cos(62°). After computing the cosine and the arithmetic, we take the square root to find the length of side m. Round this answer to the nearest tenth to get the final result.
To find the length of side m in triangle JKM, we can use the Law of Cosines. The formula for the Law of Cosines is:
c^2 = a^2 + b^2 - 2ab * cos(C)
In this case, side j is 21 inches, side k is 12 inches, and angle M measures 62°. Plugging these values into the formula, we get:
m^2 = 21^2 + 12^2 - 2 * 21 * 12 * cos(62°)
Simplifying this equation will give us the value of m. Round your answer to the nearest tenth.