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Using Integration to calculate the area of triangle

Here is the question
1743197_508594415924112_1302835493_n.jpg

The points of the triangle are

(0,13),(0,1) and (1,4)

I know how to integrate, but how can I apply it here, I am just confused a little.
(edited 10 years ago)
Original post by Hody421
Here is the question
1743197_508594415924112_1302835493_n.jpg

The points of the triangle are

(0,13),(0,1) and (1,4)

I know how to integrate, but how can I apply it here, I am just confused a little.


Is it definitely an integration question?
Reply 2
Original post by Hody421
Here is the question
1743197_508594415924112_1302835493_n.jpg

The points of the triangle are

(0,13),(0,1) and (1,4)

I know how to integrate, but how can I apply it here, I am just confused a little.


Why do you think you need to use integration here?

Isn't this just a standard "area of a right-angled triangle" question?
Reply 3
right angled triangle FTW!
Reply 4
Well, you can just use the knowledge that it's a right angles triangle.
Or you can integrate the blue line from the y axis to M and take away the integral of the black line from the y axis to M. I presume you can work out what limits are required for this?
Reply 5
Original post by StarvingAutist
Is it definitely an integration question?


No, but I found that it was possible from the marks scheme(s)
Original post by Hody421
No, but I found that it was possible from the marks scheme(s)

Even though it's possible, it's probably not advisable. Simply using the fact it's a right angled triangle is a better idea. Always look for the easiest method in Maths.
Original post by Hody421
No, but I found that it was possible from the marks scheme(s)


Well you'd probably just go about getting the equations for the lines. You already know one so getting the other isn't hard (as it's perpendicular)
Reply 8
I just found out that using calculus you get 1/2 x b x h

Basically the formula for the triangle derives from calculus

Sorry for inconvenience

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