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?

Respuesta :

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°

Answer Link

Otras preguntas

Let f(x) = x^2 + 4x and g(x) = |1 - x|. Evaluate (f o g)(2)
Kalil's monthly salary is $3,250, plus he earns 1.4% commission on his sales each month. Kalil's sales for July were $51,000. What were his total earnings for J
What is three quarters of 28? How do you do the sum?
9+2x=18 if you can slove the prople
What can readers infer about Mitty's relationship with his wife based on the closing scene of the story, in which he daydreams that he is fearlessly facing a fi
40 pounds of cashews costing $9.20 per pound were mixed with 100 1b of peanuts costing $3.32 per pound. Find the cost of the resulting mixture
2 ways forelimbs are different than hind limbs
what is 50/8 as a mixed number
what is 32 over 64 reduced too
which most prescisely describes the location of Southwest Asia? a) west of india b) south of the Arctic Circle c) north of the equator d) est of the Mediterrane