thegoat9530 thegoat9530
  • 26-01-2018
  • Mathematics
contestada

The sides of a triangle are 9, 12, and 15 centimeters long. what is the angle between the 2 shortest sides?

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gustanika
gustanika gustanika
  • 26-01-2018
Use this following formula to solve the problem
a² + b² - (2ab) cos C = c²

From the question, we can determine
a = 9
b = 12
c = 15
and the question is the angle C (angle between a and b)

Input the numbers between the formula
a² + b² - (2ab) cos C = c²
9² + 12² - (2 × 9 × 12) cos C = 15²
81 + 144 - 216 cos C = 225
225 - 216 cos C = 225
-216 cos C = 0
cos C = 0
∠C = 90°

Angle between the 2 shortest sides is 90°

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