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

What is are,perimeter, and type?
What is the meaning of bathymetry
What is the meaning of bathymetry
Mars takes 686 days to orbit the Sun. What percent is this of the time it takes the Earth to orbit the Sun?
A __________ is a wide-mouthed body of water close to shore.A.gulfB.bayC.seaD.lake
How many atoms lie in a straight line in the molecule 2-butyne, CH₃C≡CCH₃? a. 10 b. 8 c. 6 d. 4 e. 2
If the ratio of the area of circle A to the area of circle B is 2 : 1, then how many times larger is the circumference of circle A than the circumference of cir
0.6x-0.3y=-1.50.04x-0.02y=-0.1
The cheetah, which is the fastest land mammal, can accelerate from 0.0 mi/hr to 70.0 mi/hr in 3.0 seconds. What is the acceleration of the cheetah? Give your a
60% of 10 help me ///////////