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choli [55]
1 year ago
13

Triangle STU has side lengths s = 34.0 and u = 40.5. Angle T has a measure of 49°. What

Mathematics
1 answer:
tiny-mole [99]1 year ago
3 0

Using cosine rule, the length of side t is 31.5 unit

<h3>Cosine Rule</h3>

Cosine rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The formula is given as

t² = s² + u² -3su cos(T)

let's define our variables

  • t = ?
  • s = 34
  • u = 40.5
  • T = 49 degrees

substituting the values into the formula

t² = 34² + 40.5² -2(34)(40.5)cos49

t² = 1156 + 1640.25 - 1806.79

t² = 989.46

t = √989.46

t = 31.5

The length of t is 31.5 unit

Learn more on cosine law here;

brainly.com/question/4372174

#SPJ1

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