Fun with Triangles - SAS

[Acorn]

The next Triangle challenge extends the https://www.talkgraphics.com/showthr...Triangles-S90S one.

Take the same Triangle (B318px/H412px) [S90S].

Now instead of the two lengths being at an angle of 90°, I want the simplest means to change this interior angle to one of 142° [S142S]
If you are keen, produce a second triangle with an interior angle of 17° as well. [S17S]

Attachment 122724





Acorn

[Acorn]

This one is harder to describe but easy to do.

It does require visualisation and some simple arithmetic.

Here is an aid that I use:



Acorn

[wizard509]

Sorry Acorn I do not understand either your aid post #2 nor post #1 could you elaborate a little please.

[Acorn]

Sorry Acorn I do not understand either your aid post #2 nor post #1 could you elaborate a little please.

Larry, here is another view of what I want the Challenge to solve:



The Red triangle is S90S from before; two known side lengths (the base and the height) with 90° between them.
The green triangle has the same short sides, the base is obviously the same length and the edge with the blue check marks is asserted to be the same length. The Green triangle's hypotenuse, the longer third side, necessarily has to change when the 90° is increased to 142°.

The Challenge was simply how to do this accurately and simply using a Xara function.

The clue is how the Shape tool presents the angle of any node, where 0° always points horizontally left.
The direction of increase is clockwise and above 180°, the sign flips so the value decreases back to 0°.

The original Blue triangle is the additional Challenge where the angle subtended is decreased from 90° to 17°.

Acorn

[Marco D]

This is my approach to the problem...



I almost forgot to mention that the angle of the nodes is (-180 -the amount chosen).

[Acorn]

This is my approach...

Marco, a good answer.

How do you measure the angle? [Your Edit covers my question]

Have a think about not using the circle at all.

Acorn