Get an answer in 5 minutes Ask a question to our educators
MATHS

# Consider A(3,60),B(8,150) and O(0,0). Find the area of triangle AOB?

The easiest way to start solving a question like that is to make a plot of the points. It need not be extremely accurate but it will give you an idea of what you have to do. After plotting the points you will see that it is easy to calculate the lengths OA and OB by simply using the Pythagorean Theorem. OA=sqrt(3^2 + 60^2)= 60.07 units approximately and OB= sqrt(8^2 + 150^2)= 150.21 units approximately. The next thing you have to do is find the angle AOB. You do this by finding the angles that the lines OA and OB make with the x axis and then subtracting the big angle from the small one. Let’s name the angle that OA makes with the x axis θ and the angle OB makes with the x axis φ. tan(θ)=60/3 and tan(φ)=150/8. Use a calculator to find the two angles and you should find θ=87.1deg and φ=86.9deg. Now find the angle AOB which is simply θ-φ=0.2deg (approximately). We now use the formula for the area of the triangle: A=(OA*OB*sin(AOB))/2 and you find an area of 14.96 or approximately 15 square units.  Fotios Tsitsos
·

7.8k students helped

## Similar Maths questions

Maths

What is the example of a sequence using 3n nth term

## What is Q&A on Scoodle?

At Scoodle we understand that everyone learns in a different way. Some people learn through practice, using essays and notes; others prefer video lessons to watch and learn, some just need help with a specifically hard question, while some learn best 1-on-1 tutoring sessions. At Scoodle we cater for all types of learning styles and needs. From GCSE Maths video lessons to A-level English essays and specialist educators in every subject - we’ve got you covered.   Scoodle has helped over 131,000 students so far

Need help with Maths?

Getting expert help from a tutor is a great way to improve your Maths grades.

## Discover learning resources by tutors

Learn Maths with Video Lessons