How do you do part A in this question?

## 2002 Paper 2 Question 10

### Mr H

Posted 17 May 2006 - 08:06 PM

I don't have access to that paper at the moment to give you my solution so here's someone else's:

http://www.lookstudylearn.co.uk/higher/H2S...ols-10-2002.PDF

http://www.lookstudylearn.co.uk/higher/H2S...ols-10-2002.PDF

### ad absurdum

Posted 17 May 2006 - 11:21 PM

Hmm there's apparently another way to do it with similar shapes and the like, but I prefer to use stuff that's fresh in my memory.

First, find the gradient of the longest side (from (0,6) to (8,0)):

Now the other side l is parallel to this, so it has the same gradient, and it also touches the point (a,0), so finding an equation for l:

Now find the y intercept, i.e. when x= 0:

So the y intercept is the point (0, 3a/4)

Now, we want the length of l, so distance formula between the point (0, 3a/4) and (a,0):

tricky question.

First, find the gradient of the longest side (from (0,6) to (8,0)):

Now the other side l is parallel to this, so it has the same gradient, and it also touches the point (a,0), so finding an equation for l:

Now find the y intercept, i.e. when x= 0:

So the y intercept is the point (0, 3a/4)

Now, we want the length of l, so distance formula between the point (0, 3a/4) and (a,0):

tricky question.

### Mr H

Posted 18 May 2006 - 08:00 AM

I would also solve part (a) using similar triangles.

Here is my solution if it helps:

http://www.invergordon.highland.sch.uk/dep...q10solution.pdf

Here is my solution if it helps:

http://www.invergordon.highland.sch.uk/dep...q10solution.pdf