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 8?

Answer 1

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