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?

Mathematics

1 answer:

svet-max [94.6K]2 years ago

4 0

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

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