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How did Pythagoras help us today?
because of pythagorus nobody would have know about right angles and everything so if hehadnt discovered that then people would be able to fit carpets build buildings tcnacly the world wouldnt be round without right angles
How do you find how many sides a polygon would have with only an angle?
If the only information that you have is the angle and the shape is a polygon, then you cannot determine how many sides the polygon consists of. The minimum number of sides is 3, but without seeing a picture, or knowing what type of polygon (e.g. right triangle or equalaterial triangle), then you won't be able to determine how many sides the polygon has.
Will a regular isosceles triangle tessellate?
No, a regular isosceles triangle will not tessellate. In order for a shape to tessellate, it must be able to fit together with copies of itself without any gaps or overlaps. Regular isosceles triangles have angles of 90, 45, and 45 degrees, which do not allow for a repeating pattern that covers a plane without any spaces. Regular polygons that tessellate include equilateral triangles, squares, and hexagons.
How do you find a missing angle in a quadrilateral with variables involved?
The method will depend on what information you have, and the amount of knowledge expected of you. At the basic level, you should be able to reach an answer using the following facts: 1. The sum of the exterior angles is 360 degrees. 2. The sum of the interior angles is 360 degrees. 3. Each pair of exterior and interior angles adds to 180 degrees. These will give equations that may be solved - individually or simultaneously (depending on your level). If you are more advanced still, information about some of the angles may be missing but you may have side-lengths instead. Then it is a question of using the basic triginometric ratios to calculate the missing angles.
When can you use the sine law?
The tricky part of the law of sines is knowing when you are able to use it. Whether you can use the law of Sine's or not depends on what information you have or were given. In some cases the information you were given could make two different triangles. There are three times when you can use the law of sines. One example of when you can use it is when you have the length of a side and the measures of both the angles that that side is adjacent to. This is called angle side angle or asa for short. Another time when you can use the law of sines is when you are given the measures of two angles and a side that is outside the angles. This is called aas. Finally the last case where you can use the law of sines is when you have two side lengths and the measure of an angle. Math teachers refer to this one as ssa, I remember that this one is special. If you are given the measure of an angle and two sides you could have two different triangles.
