Search Results for: geometry

Geo!

Question : AB.BC=2AD.CD Prove that: Answer 1 : Hidden TextLet and Now let . From we get .Set . Then Let be a chord passing through . , so we have a minimum sum when So we have But ............

Geo

Question : Is there anyone who knows Gauss theorem? Answer 1 : which particular one dya mean? :: Divergence Theorem, Gauss's Digamma Theorem, Gauss's Double Point Theorem, Gauss's Hypergeometric Theorem, Gauss's Theorema Egregium try to look for what you want at mathworld.wolfram.com/GausssTheorem.htmlthe triple 's' is correct ,because............

geo in

Question : Let ABC be a triangle. Prove that NI*HI<=2OI^2(where N is Nagel's point) Answer 1 : I sure hope I haven't made any mistakes... We know that N,G and I are collinear and NI=3GI (you can prove this by using baricentric coordinates). So we want to prove that 3GI*HI<=2OI^2. Now, I,m not............

Some geo

Question : Isosceles triangle ABC has right angle A and an area of 9 square units. Two lines, n and m, are both parallel to BC with line n closer than line m to BC; line n intersects sides AB and AC at points R and S, respectively, and............

Geo

Question : Triangle is right angled at . The circle with center and radius cuts and internally at and respectively. If and , determine . Answer 1 : Hidden TextLet and . By Pythagorean Theorem, .Extending to intersect the circle............

Geo

Question : There exists a rectangle ABCD, where AB = 8 and BC = 6 The diagonal BD is constructed. Square PQRS is inscribed in triangle ABD, such that P is touching AB, Q is touching AD, and R and S are along the diagonal BD. Find the length of a side............

Geo

Question : In triangle ABC, I is the incentre. Let the incircle touch the sides AB and AC at Z and Y respectively. If AI meets the incircle in P, show that P is the incentre of triangle AZY Hidden Textcyclic quadalternate segment theorem Answer 1 : Hidden Text is the............

Geo

Question : In any triangle ABC, draw the angle bisector of . Draw in the perperndicular bisector of . Let the intersection of the angle bisector of and the perpendicular bisector of intersect at P. Why is P on the circumcentre of ? Answer 1 : http://www.artofproblemsolving.com/Forum/viewtopic.php?t=75107............

Geo ??

Question : . Prove that : Answer 1 : But This is true since Hence remain to prove that but this is obviously true. Answer 2 : Nice proof, Arqady! Mine is longer, I post it just because it somewhat strengthens the inequality. We have to prove the............

Geo...

Question : Given a triangle with sides a,b,c a nd angles A,B,C, in the usual notation. Drop the perpindicular from A to a. Draw in the bisector of B. Draw in a median from C to c. Find conditions on a,b,c, so that these three lines intersect at a common point.............

Some geo

Question : (a) Be M an internal point of the convex quadrilateral ABCD. Prove that . (b) Be M an internal point of the triangle ABC. Note . Prove . Answer 1 : Extend segment until it touches on . Extend to on . ............

Geo

Question : is right angled at A. D is a point on AB such that CD = 1. AE is the altitude from A to BC. If BD = BE = 1, what is the length of AD? Answer 1 : Did I mess upUmm... doesn't E=D, so D............

co geo

Question : Does there exist a quadrilateral with the vertices in order and area sq. units Answer 1 : TIPThe area of triangle equals 12, so only concave quadrilateral might exist. Answer 2 : indeed it turns out to be concave solving for we get .But............

Geo!

Question : The bases of a trapezoid are 6 and 10. The height is 8. Find the length of a line parallel to the bases that divides the area of the trapezoid into two equal parts. Answer 1 : woo this was fun, may not be the best way to............

Geo!

Question : Find the area of trapezoid ABCD if AB || CD, AB = 24, CD = 12, the measure of angle A is 30 and the measure of angle B is 60. Answer 1 : answe need to find the height of the trapezoid and in order to do............

Geo!

Question : The median of a trapezoid cuts the trapezoid into two regions whose areas are in the ratio 1:2. Find the ratio of the smaller base of the trapezoid to its longer base. Answer 1 : Hidden TextLet the shorter base be and the longer base be .............

Geo

Question : Let be a right-angled triangle and let be the incircle of its. Take the orthogonal projection of on th line then the orthogomal projection of on the line Prove that: Answer 1 : They are close but no equal,............

geo

Question : the lengths of the three sides of triangle ABC are consecutive integers. if AB = x^2-12x-64, BC = x+5, and CA = x+3, find the perimeter of ABC Answer 1 : Hidden TextClearly is 2 more than , so the order of the sides from least length............

geo

Question : 1. a plane is flying at a speed and direction which in still air would be 500 mph due north. there is a wind of 100 mph blowing toward 30 degrees east of north. give the resultant ground speed of the plane in mph. answer?588.72. the ratio of............

geo

Question : 1. given triangle RST with R(-3,8), S(3,0), T(12,12). find the y-coordinate of the point at which the bisector of angle RST intersect RT. 2. triangle ABC has vertices (0,0), (10,0), and (6,6). find the ordered pair (x,y) of the incenter of the triangle. round to 4 decimal places.............

Geos

http://www.geo.arizona.edu/geo5xx/geos567/homework/Homework01_F07.doc

GeoGebra Geometry Workshop

http://www.openplanner.org/files/GeoGebra_Geomtery_Workshop.doc

Geo in Jeopardy

Geo in Jeopardy............

GEO Gateway

GEO Gateway............

Geo in Jeopardy

Geo in Jeopardy............

Geo in Jeopardy *

Geo in Jeopardy *............

combinatorics or geo??

Question : There are n > 2 lines in the plane, no two parallel. The lines are not all concurrent. Show that there is a point on just two lines. Answer 1 : Suppose, for a contradiction, that any common point of two lines lies on at least 3 lines. Let............

taxicab geo

Question : does ne1 know a good source of taxicab geometry stuff that i could look at? i have a book but i dun think it's that useful.... Answer 1 : 10000th users blog.............

some taxicab geo

Question : 2. Alice and Bruno are looking for an apartment in Ideal City. Alice works as an acrobat at amusement park , and Bruno works as a bread taster in bakery . Being ecologically aware, they walk wherever tey go. They have decided their apartment should be located so............

Geo problem

Question : Can you solve this problem? Answer 1 : This looks like it involves circumcircles. Answer 2 : No I wrote exactly true. There is no circumcircles . Answer 3 : I don't think the angle is unique. Answer 4 : yea.... according to my graphing program, the angle varies,............