Geometry Problem

Click the figure below to see the complete problem 515 about Triangle, Double Angle, Altitude, Measure.

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Complete Problem 515

Level: High School, SAT Prep, College geometry

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## Sunday, August 29, 2010

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Problem 515: Triangle, Double Angle, Altitude, Measure

See also:

Complete Problem 515

Level: High School, SAT Prep, College geometry

Online Geometry theorems, problems, solutions, and related topics.

Geometry Problem

Click the figure below to see the complete problem 515 about Triangle, Double Angle, Altitude, Measure.

See also:

Complete Problem 515

Level: High School, SAT Prep, College geometry

Labels:
altitude,
double angle,
measurement,
triangle

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Locate E on CD s.t. DE=d. Now triangles BAD & BED are congruent with BE=c and /_BED=2α which makes /_EBC=2α-α=α or BE=EC=c. Hence, e=DE+EC=d+c

ReplyDeleteAjit

extend CA to G, AG = AB => ▲GBC isoceles =>

ReplyDeleteBD median

Extend AC to the left and locate point E such that AE=c

ReplyDeleteTriangle ABE isosceles with angle(AEB)=alpha

so triangle EBC isosceles and BD is the median of isosceles tri. EBC

we have DC=DE=DA+AE=d+c

Peter Tran

Let point E on line AC, and BE=BC.

ReplyDeleteAngle BEA=angle BCA=alpha.

AB=AE, since angle ABE=alpha (2xalpha - alpha).

Point D=midpoint of EC---> EA+AD=DC (c+d=e)