Correct question:
Triangle QRS has side lengths q = 5.1 and r = 9.8 . Angle S has a measure of 39 degrees. What is the length of side s?
Answer:
The length of side s is 6.66
Step-by-step explanation:
Given;
triangle QRS, with side length q = 5.1 and r = 9.8
angle between q and r = ∠S = 39⁰
Apply cosine rule to calculate the missing side "s";
s² = q² + r² - 2qr x Cos(S)
s² =5.1² + 9.8² - 2 x 5.1 x 9.8 x Cos(39)
s² = 122.05 - 77.68
s² = 44.37
s = √44.37
s = 6.66
Therefore, the length of side s is 6.66
