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Andre45 [30]
2 years ago
9

The lengths of three sides of a triangle are 10 centimeters, 11 centimeters, and 13 centimeters. Find the measure of the smalles

t angle of the triangle.
Mathematics
1 answer:
SashulF [63]2 years ago
5 0

Answer:

  • 48.4°

Step-by-step explanation:

The smallest angle is opposite to the smallest side.

<u>Use the law of cosines to find the angle opposite to side with the length of 10 cm:</u>

  • cos A = (b² + c² - a²)/(2bc)
  • cos x = (11² + 13² - 10²)/(2*11*13)
  • cos x = 190/286
  • cos x = 0.664 (rounded)
  • x = arccos (0.664)
  • x = 48.4° (rounded)
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