The median of a trapezoid is parallel to its bases and is equal to one half of their sum.
Prove this theorem using the diagram provided in class.
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The School of Athens
Euclid, as imagined by Raphael in this detail from The School of Athens.
Jamshed Al-Kashi
Al-Kashi was one of the greatest mathematicians of the 15th century, calculating the sin(1*) correct to 16 decimal places.
Al-Beruni
The 11th century scientist and philosopher managed to estimate the radius of the earth using a very creative method that employed trigonometry.
7 comments:
Has anyone made any advancements as to the second part of the question?
no
do we all need the same stuff or do we work on it our own ways
Your group should have agreed on something to put up on the board tomorrow.
i think we were all going to prove it through the congruence of triangles. at least that is what we were working on in class
I've proved that DC=BH by congruence of triangles, but I don't know where to go from there
after you prove that the dc=bh use the midpoint theorem that states the line through the midpoints is equal to 1/2 the opposite side, so PQ=1/2 AH. by construction AH= AB+BH and by the transitive property AH=AB+DC so PQ is half of AB+DC also by the transitive property which proves the theorem
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