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To trisect a right angle form an equilateral triangle with one vertex at the right angle and then bisect that angle of the equilateral triangle.

(It is impossible to trisect a general angle using only compass and straight edge - the right angle is a specific exception.)

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Q: When you trisect a right angle you first construct what kind of triangle?
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To trisect an angle you first construct an equilateral triangle?

Right


To trisect a right angle you first construct an triangle?

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Is it true that to trisect a right angle you must first construct an equilateral triangle?

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If I have an answer to the trisect any angle geometry question how can I discover if I am right or wrong?

First things first, the actual statement isn't "you can't trisect an angle" but rather "you can't trisect one with only a compass and straightedge." Some angles can be easily trisected--a 90-degree angle trisects into 30-degree segments-but to do it you need a protractor. Anyway, to check your work measure the angle you trisected and divide by three. If your trisections match, you got it right.


How do you construct an isosceles triangle when base and angle at the vertex is given?

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How do you find the first angle and the second angle of a triangle?

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How would you construct an isosceles triangle if only given the vertex angle and the radius of the circumscribed circle?

You have an isosceles triangle, and a circle that is drawn around it. You know the vertex angle of the isosceles triangle, and you know the radius of the circle. If you use a compass and draw the circle according to its radius, you can begin your construction. First, draw a bisecting cord vertically down the middle. This bisects the circle, and it will also bisect your isosceles triangle. At the top of this cord will be the vertex of your isosceles triangle. Now is the time to work with the angle of the vertex. Take the given angle and divide it in two. Then take that resulting angle and, using your protractor, mark the angle from the point at the top of the cord you drew. Then draw in a line segment from the "vertex point" and extend it until it intersects the circle. This new cord represents one side of the isosceles triangle you wished to construct. Repeat the process on the other side of the vertical line you bisected the circle with. Lastly, draw in a line segment between the points where the two sides of your triangle intersect the circle, and that will be the base of your isosceles triangle.


What is the measure of the third angle of the triangle?

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Is it possible to construct angle 45 With the help of a ruler and a compass?

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What will the measure of the second acute angle be if the first is 28?

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