How do I work out the Height of this triangle if I know all sizes?

lancslass2008

Hi all

I am trying to cut a Triangular piece of glass from a Giant square sheet that is 3210mm x 2250mm. I have all sizes:

Here is the triangle a /\ b Where a is one side and b is the other.
The bottom _ of the Triangle is c

So, my sizes are:
a=1435mm
b=1435mm
c=2030mm

So, obviously I know all my sizes. I just want to know how high the Triangle is from the centre point of the bottom line 'C'. By this I mean that my bottom line is 2030mm in length. Of course the centre of this bottom line is 1015mm. So, what is the height at where the two sides (both 1435mm) meet?

Thanks all.

A bit thick I know, but I need to know this.

Thanks

jackieblack

I make it 1014.3963mm

Thenig

I agree with jackie. 1014.396

jackieblack

Thanks Thenig

lancslass2008 - it's a long time since I went to school, but IIRC this is how I'd work it out.....

The line from the top point to the centre of the bottom line splits the triangle into 2 right angled triangles (back to back)

Pythagoras's theorem says the square of the hypotoneuse (the long side opposite the right angle, 1435mm) is equal to the sum of the squares of the other two sides

1435 squared = 2059225
1015 squared = 1030225

So the measurement you are after is the square root of 1029000 (2059225 - 1030225) which, according to my calculation, is 1014.3963

Wherryman

I agree too, 1014.396

Good luck with the cutting.

Swan_2

I get the same as jackie


EDIT ... & everyone else

Bushey

Agreed. Perpendicular Ht= 1014.396mm.

NiVZ

Agreed it's 1014.396.

You need to use Pythagorean theorem (have a look here: http://en.wikipedia.org/wiki/Pythagorean_theorem)

and you use half of the bottom side (since you want the line down the middle)

ie, use imaginary line d as straight up and down, and c is now 1015 (half the total length)

so d = square root of (1015 squared) - (1435 squared)

EDIT: Jackieblack explained it much better than me

NiVZ

lancslass2008

WOW, WOW, WOW

I must be thick! I still can't work it out, lol. However, seven answers within 30 mins of me posting this.

OK, guys n gals, please can you work this one out please:

Bottom is 2627
Both sides are 1708
Height is ?


Thanks all

Swan_2

I get 1091.7792

but I'd wait for a few other answers to be sure that I haven't messed it up somehow

NiVZ

OK, guys n gals, please can you work this one out please:

Bottom is 2627
Both sides are 1708
Height is ?

I get 1091.77916 for the second triangle

NiVZ