Get an answer in 5 minutes

We'll notify as soon as your question has been answered.

Plus iconAsk a question to our educators
MATHS
Asked by Houston

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's profile picture
Verified
Fotios Tsitsos
·

4k students helped

Similar Maths questions

Get an answer in 5 minutes

We'll notify as soon as your question has been answered.

Plus iconAsk a question to our educators

Badge showing the text 'New'Learn Maths with Video Lessons

GCSE Maths - Numbers
1hr 28m · 8 videos
Paja's profile picture
Paja Kruzikova
·

441 students helped

GCSE Maths - Numbers
Quadratic Inequalities
28m · 3 videos
Iqbal's profile picture
Iqbal Lokman
·

1.3k students helped

Quadratic Inequalities
GCSE Maths - Ratios
1hr 32m · 9 videos
Paja's profile picture
Paja Kruzikova
·

441 students helped

GCSE Maths - Ratios
GCSE Maths - Algebra A
56m · 6 videos
Paja's profile picture
Paja Kruzikova
·

441 students helped

GCSE Maths - Algebra A

Premium video lessons available now on Scoodle

50% discount available

Scoodle's video lessons make learning easy and fun. Try it for yourself, the first lesson is free!