chicapunk2333 chicapunk2333
  • 20-03-2021
  • Mathematics
contestada

In a triangle with vertices A,B and C, if C =64° and the lengths AC= 40mm and BC= 70mm find the length AB using cosine rule

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 21-03-2021

Answer:

63.6mm

Step-by-step explanation:

According to cosine rule;

AB² = BC²+AC²-2(BC)(AC)cos m<C

Substitute the given values

AB² = 70²+40²-2(70)(40)cos 64

AB² = 4900+1600-5600cos64

AB² = 6500-5600(0.4384)

AB² = 6500-2,454.87

AB² = 4,045.12

AB = √4,045.12

AB = 63.6mm

Hence the length of AB is 63.6mm

Answer Link

Otras preguntas

Was Thanos right?...want to see peoples opinion on this
How many moles of h2o are produced when 64. 0 g c2h2 burn in oxygen?.
3/5 + 7/8 + 3/10 Enter your answer in the box as a mixed number in simplest form. (fractions)
Which musician proposed to his wife during a joint concert?.
The purchase was authorized by Belinda.
How many grams of water are produced, given that 6.8 moles of oxygen gas are produced as well?
11. How is communism different than socialism? A. government in communism own all aspects of production and governments in socialism own only some B. government
Which molecules does a plant need to make glucose in the process of photosynthesis?.
What is the solution of x^2-1/x^2+5x+4<_0
giera works at a day care center last month there were 7 adults for 56 children which is the minimum ratio allowed under state law this month 74 children are ex