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I guess you are asking of the two sides which are not the hypotenuse, why the longer is root 3 times the shorter. Consider a 30, 60, 90 triangle ABC with ∠A = 30o, ∠B = 90o and ∠C = 60o and so side AC is the hypotenuse and BC is the shortest side. Reflect the triangle ABC in side BC to create triangle ABE. ∠EAB will be 30o, ∠ABE 90o and ∠BEA 60o. Side AE = AC. ∠EAC = ∠EAB + ∠BAC = 30o + 30o = 60o So triangle ACE is an equilateral triangle and thus side EC = AC Since EC = AC and EB = BC, EC=EB + BC ⇒ AC = BC + BC ⇒ AC = 2BC Using Pythagoras on triangle ABC to find length AB gives: AB2 + BC2 = AC2 ⇒ AB2 + BC2 = (2BC)2 ⇒ AB2 = 4BC2 - BC2 ⇒ AB2 = 3BC2 ⇒ AB = √3BC ie the shortest side is root 3 times the other non-hypotenuse side.
Angle BAE.
Using only a compass you cannot do it - you will need a straight edge as well.Draw a straight line AB.From A, using the length AB draw an arc above AB.From B, using the length AB draw an arc to intersect the first arc at C.Join CA.Then angle CAB is 60%From A, draw an arc to cut the two arm of the angle, AB and AC at X and Y respectively.From X, draw an arc between the two arms of angle CAB.Using the same length, repeat from Y so as to cut the previous arc at D.Join DA.DA bisects angle CAB and so angle DAB = 30 degrees.Now bisect angle DAB to give angle EAB = 15 degrees.At A, draw a perpendicular (facing downwards). If F is any point on the perpendicular, the angle EAF = 15 + 90 = 105 degrees.
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this is a continuation of the question... AB=4, BC=6, AE=8, and BE intersects at D
the intersection of planes DCG and EAB
Yes, sometimes, but usually a girl is a eab for a boy.
EAB is the Education Advisory Board, which supports universities and colleges on improving their performance.
There are two types of stingless wasps that lay eggs in the larvae of emerald ash borer. Currently these wasps are being used to control the spread of eab especially in areas where chemical controls and removal of infested trees are difficult. Additionaly, woodpeckers eat the larvae. In fact this is a good way to tell if you tree is infested with eab. The woodpeckers go crazy trying to find fresh larvae to eat, and expose their feeding galleries.
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 3 words with the pattern -EAB--. That is, six letter words with 2nd letter E and 3rd letter A and 4th letter B. In alphabetical order, they are: seabag seabed teabox
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 6 words with the pattern -EAB---. That is, seven letter words with 2nd letter E and 3rd letter A and 4th letter B. In alphabetical order, they are: seabags seabank seabeds seabird seaboot teabowl
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern -EAB--L. That is, seven letter words with 2nd letter E and 3rd letter A and 4th letter B and 7th letter L. In alphabetical order, they are: teabowl
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern -EAB--T. That is, seven letter words with 2nd letter E and 3rd letter A and 4th letter B and 7th letter T. In alphabetical order, they are: seaboot