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1. Triangle Question
What topic does this question come from and how do I do the question shown below.

2. Re: Triangle Question
(Original post by zed963)
What topic does this question come from and how do I do the question shown below.

How do you get the region of points at a distance of 4 or less from B?

Spoiler:
Show

How do get the region of points closer to AC than to AB?

Spoiler:
Show

Bisect the angle BAC, region on the AC side

The question is asking to shade the intersection of both these regions.
3. Re: Triangle Question
The topic is loci.

Points that are 4 centimetres from B form a circle (radius 4cm) around B so points less that 4cm are inside this circle.

The points the same distance from AC and AB lie on the bisector (use a compass) of the angle BAC. So points closer to AC must lie...

Can you work out the rest and find the region?

Does any of this sound familiar to you?
4. Re: Triangle Question
(Original post by Lord of the Flies)
How do you get the region of points at a distance of 4 or less from B?

Spoiler:
Show

How do get the region of points closer to AC than to AB?

Spoiler:
Show

Bisect the angle BAC, region on the AC side

The question is asking to shade the intersection of both these regions.
I didn't understand the second one.
5. Re: Triangle Question
The topic is Loci, I think.

You have to bisect the angle BAC.

Use a pair of compasses to draw an arc 4cm away from the point B.

See this tutorial on how to bisect an angle:

(Go to 1:22)
Last edited by usycool1; 31-07-2012 at 14:19.
6. Re: Triangle Question
(Original post by zed963)
I didn't understand the second one.
Wikipedia: An angle bisector divides the angle into two angles with equal measures. An angle only has one bisector. Each point of an angle bisector is equidistant from the sides of the angle.

You're cutting the angle into two equal angles. The points of the bisector are equidistant from both lines. The points on the right side of the bisector are closer to the line on the right, the ones on the left are closer to the line on the left.
7. Re: Triangle Question
(Original post by notnek)
The topic is loci.

Points that are 4 centimetres from B form a circle (radius 4cm) around B so points less that 4cm are inside this circle.

The points the same distance from AC and AB lie on the bisector (use a compass) of the angle BAC. So points closer to AC must lie...

Can you work out the rest and find the region?

Does any of this sound familiar to you?
Would I have to use a compass for point B and C to construct the bisector.
8. Re: Triangle Question
(Original post by zed963)
Would I have to use a compass for point B and C to construct the bisector.

Did you not learn these things in school? A topic like loci makes much more sense when demonstrated by a teacher.
9. Re: Triangle Question
(Original post by notnek)

Did you not learn these things in school? A topic like loci makes much more sense when demonstrated by a teacher.
I'm teaching my self.
10. Re: Triangle Question
(Original post by zed963)
I'm teaching my self.
Oh I didn't know that.

If you don't mind me asking: how old are you and why are you self-teaching?
11. Re: Triangle Question
(Original post by notnek)
Oh I didn't know that.

If you don't mind me asking: how old are you and why are you self-teaching?
I'm 15 and I've got a linear exam in November so I've got study.
12. Re: Triangle Question
(Original post by zed963)
I'm 15 and I've got a linear exam in November so I've got study.
But why don't you have a teacher?
13. Re: Triangle Question
(Original post by notnek)
But why don't you have a teacher?
It's currently summer holidays in the UK.
14. Re: Triangle Question
(Original post by zed963)
It's currently summer holidays in the UK.
Oh so you do have a teacher that should've taught you loci before the holidays?

Loci is also taught in Y9 so you should have had some practice before.
15. Re: Triangle Question
(Original post by notnek)
Oh so you do have a teacher that should've taught you loci before the holidays?

Loci is also taught in Y9 so you should have had some practice before.
Yes