cesiliagonzalez7917 cesiliagonzalez7917
  • 04-09-2019
  • Mathematics
contestada

A triangle with angles measuring 45°, 50°, and 85° has sides with lengths of 16.34 cm, 12.57 cm, and 11.60 cm. What is the length of the side opposite the 85° angle?

Respuesta :

jordiegurenbrown
jordiegurenbrown jordiegurenbrown
  • 07-09-2019

Answer:

16.34m

Step-by-step explanation:

Since 85 is the widest angle, it follow that the opposing segment must be the longest.

Assuming this we can verify with the cosine theorem:

c² = a² + b² − 2ab cos(C)

16.34² = 12.57² + 11.60² - 2*11.60*12.57.cos(85°) ?

266.99 = 158.00 + 134.56 - 291.62 * 0.087

266.99 = 266.99

Solving both sides independently, we arrive to the same number, proving our hypothesis

Answer Link

Otras preguntas

6) When a substance such as ice melts, its temperature increases. Describe what happens to the arrangement of the water molecules as the temperature increas
A gardener is attempting to put a fence around a rectangular garden. The total length of the fence is 30 feet. The width of the garden is 3 ft longer than the l
Given G (1,2) and K(8,12) Part A what does it mean to find the point ponline gk such that 3(GP)=2(PK)?
4.3t-2.1t-2.3=7.6 Solve equation
Please show the steps in solving B=5/7(F-38) solve for F
Write and English phrase that would translate into the following mathematical expression. 5z-8. Which of the following is equivalent to the expression 5z-8?
Need help finishing problem 27.
Monogamy refers to a form of marriage in which:
Social psychologists define the need to belong as the desire to
Specific processes must take place within the cell for protein synthesis to occur. mc019-1.jpg Which occurs during translation but not during transcription? A