Mathematics, 08.10.2021 01:50 nourmaali
Proof Hexagon:
Hey, I'm a German 11th grader and we currently have a tough geometry question: The centers A, B, C of three congruent circles that have no common points do not lie on the same straight line. From points A, B, C, the six tangents shown in the figure are placed on the circles that enclose a convex hexagon. Prove: The sums of the lengths of three pairs of not immediately adjacent sides of this hexagon are equal, i. e. | PQ | + | RS | + | TU | = | QR | + | ST | + | UP |
How can I prove this? I already found out that the triangles on the sides of the hexagon are not pairwisely congruent, as i first thought. I think my other idea that the red and orange triangles (attachment) are congruent, so the sum of the areas of the triangles on the above mentioned sides is equal, but the congruency of red and orange must be proven too. Any help is appreciated!
Answers: 3
Mathematics, 21.06.2019 18:30
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Mathematics, 21.06.2019 19:00
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Mathematics, 21.06.2019 20:30
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Mathematics, 22.06.2019 00:30
Will mark 50 show all what is the solution to the system of equations? use the substitution method and show your work. -5x+y= -3 -15 x+3y=7 explain what your answer in part (a) tells you about the association of the lines in this system.
Answers: 1
Proof Hexagon:
Hey, I'm a German 11th grader and we currently have a tough geometry question: The...
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