WebEach interior angle of a particular polygon is an obtuse angle which is a whole number of degrees. What is the greatest number of sides the polygon could have? If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas. This problem is taken from the UKMT Mathematical Challenges. WebGreatest number of sides 1. Octagon 2. Hexagon 3. Pentagon 4. Square and Rectangle 5. Triangle Least number of sides What is the primary function of Dynamic Study …
Rules of a Triangle- Sides, angles, Exterior angles, Degrees and …
WebOct 17, 2024 · 4 Answers Sorted by: 9 Here is a proof that the answer by @Avi is the largest possible. We have the following lemma, which is intuitively clear and also can be proved rigorously: With the lemma, we now see that and adding them together gives the maximum number. Share Improve this answer Follow answered Oct 16, 2024 at 20:16 WhatsUp … http://www.freepubquiz.co.uk/how-many-sides.html emma paterson florist whitburn
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WebJul 7, 2024 · Arrange the shapes in order from the shape with the greatest number of sides to the shape with the fewest number of sides. 1. triangle 2. square 3. rectangle 4. octagon 5. hexagon 6. pentagon 1 See answer Advertisement Advertisement thatboresgirl13 thatboresgirl13 1. Octagon 8 sides 2. Hexagon 6 sides 3. Pentagon 5 side WebTriangles are one of the most fundamental geometric shapes and have a variety of often studied properties including: Rule 1: Interior Angles sum up to 180 0. Rule 2: Sides of Triangle -- Triangle Inequality Theorem : This theorem states that the sum of the lengths of any 2 sides of a triangle must be greater than the third side. ) Rule 3 ... WebWhat is the greatest number of sides that your polygon could have? What about on a 3 by 4 grid, or a 3 by 5 grid? What about on a 3 by n grid? Can you explain the pattern by which the 'number of sides' increases? Next, explore some polygons on grids that are 4 dots high. What is the maximum number of sides a polygon could have on a 4 by n grid? emma pattison epsom college husband