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

What do I need to do and how can I do a area model
Todo el mundo lo _____ a mi hermano cada vez que él ganaba un campeonato. a. lloraba c. recordaba b. despedía d. felicitaba
1.) What is the relationship between sine & cosine? a) sinθ=cos(90−θ) b) sinθ=cos(180−θ) c) sin90=cos(90−θ) d) sinθ=cos(30−θ)
How many molecules of glucose are in 5.72 grams of glucose?
a ____ is used to present situations that may not have numerical values
what is the image of H for 180° counterclockwise rotation about the center of the regular hexagon?
It's not my cup of tea is an example of _____. slang an informal idiom
If 35%=105 , what is 100%?
A group of meteorological symbols that represents the weather at a particular observing station is a
What events proved that metternich was correct in his fears?