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Using a ruler and a compass construct a triangle with sides of length 7 cm 9 cm and 10.5 cm?
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How is isosceles triangle is drawn?
An isosceles triangle has 3 sides and 2 of its sides are of equal length which can be constructed by using a straight edge and a compass.
Is it possible to construct a hexagon using only a straightedge and a compas?
Yes First construct an equilateral triangle: Draw the base side of the triangle and label the ends A and B - this will be the first side of the hexagon. Set the compass to the length of the side. With the compass on one end of the line (point A), draw an arc to one side of the line (roughly near the middle). With the compass on the other end of the line (point B), draw a second arc to intersect the first arc (call this point O) - this is the apex of the triangle. Normally when constructing the triangle side OA and OB would be drawn in, however as a hexagon is being constructed only the location of O is needed. This point O will be the centre of the hexagon. Now construct 4 further equilateral triangles: For the first use OB as the base (the actual line is not needed, just its endpoints), construct its apex C and using the straight edge join B to C. For the next, use OC as the base, construct its apex D and join C to D Then use OD, construct apex E and join D to E Finally using OE, construct apex F and join E to F. The hexagon can now be completed by joining F to A.
Is it possible to construct a regular hexagon using only a straightedge and a compass?
yes
Is it possible to construct an angle of 22.5 degrees using a compass and a straightedge?
Yes
How can you measure a hexagon with no protractor or ruler?
Measuring implies using a measuring device of some kind. If you mean to construct a hexagon without a protractor or ruler, that's different. Constructions in geometry require only a compass and a straightedge (a ruler, but you ignore the numbers). A hexagon can be made of 6 equilateral triangles; choose any length for the side and construct them connected together, using only the compass to set the length and the straightedge to draw straight lines between points.
