Given a triangle ABC with side lengths AB = 5cm, BC = 7cm, and AC = 8cm, calculate the measure of angle ABC.
You can use the Law of Cosines to find the measure of angle ABC in a triangle. The formula is: cos(ABC) = (AC² + BC² - AB²) / (2 * AC * BC). Substitute the given side lengths into the formula and calculate the cosine value. Finally, use the inverse cosine function (cos<sup>-1</sup>) to find the angle measure in degrees.
Answered by: Vinay M Maths Tutor
4.3K views
Related questions
View all
What's a right angle?
Answered by: Katie A
4.4K views
What's an obtuse angle?
Answered by: Katie A
44K views
What is an acute angle?
Answered by: Katie A
2.3K views
What is the cosine rule?
Answered by: Katie A
13K views
What are the patterns and properties in square numbers?
Answered by: Skye M
35K views
Looking for a 1-1 tutor?
Find expert tutors from elite UK universisites
Need help to find a tutor?
Our educational experts will help you find the perfect online tutor from top UK universities.
Download our free study tips
This handbook will help you plan your study time, beat procrastination, memorise the info and get your notes in order.