The question is:
Build by compasses and straightedge so the vertex angle will be double of the base angle.
please show how to do or website that show hints or solution to the question.
I think to draw a circle so I can create the two equal sides of the triangle. Now, what is next?...what you have done to find the angles.
I think to draw a circle so I can create the two equal sides of the triangle. Now, what is next?
The radii of the circle will be the sides.
I divide It to two triangles.I suggested working out the angles before starting to draw. But you can also start by planning the construction.
You might imagine what the triangle will look like. Without trying to do an actual construction yet, sketch an isosceles triangle, and draw in the bisector of the apex (vertex) angle. Since that apex angle is twice either base angle, how will its two halves compare to the base angles?
I divide It to two triangles.
The triangle have:
By your hints I calculate the angles. They are: 45, 45, 90 degrees each one.
x = base angle
2x = vertex angle
x + 2x + x = 180
4x = 180
=> base(s) angle = 45, vertex angle = 90.
O.K. How it combine to one full solution?