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anonymous
 one year ago
Where is the orthocenter of obtuse triangle CDE located? Find GD.
A.outside of the triangle; GD = 5
B.inside the triangle; GD = 5
C.outside of the triangle; GD = 7
D.inside the triangle; GD = 7
anonymous
 one year ago
Where is the orthocenter of obtuse triangle CDE located? Find GD. A.outside of the triangle; GD = 5 B.inside the triangle; GD = 5 C.outside of the triangle; GD = 7 D.inside the triangle; GD = 7

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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Is there a figure?

Jacob902
 one year ago
Best ResponseYou've already chosen the best response.0We know that EGC is the supplementary angle of CGD, so: ∠EGC=180∘−∠CGD=180∘90∘=90∘ But we are also told that: EGC=(5x+55)∘ So we can say: (5x+55)∘=90∘5x+55=905x=90−55=35x=355=7 So: GD=2x−9=2⋅7−9=14−9=5

Jacob902
 one year ago
Best ResponseYou've already chosen the best response.0Also, for obtuse triangles the orthocenter will be outside the triangle: http://www.mathopenref.com/triangleorthocenter.html

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1438041362735:dw

Jacob902
 one year ago
Best ResponseYou've already chosen the best response.0almost but still good

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1438041511499:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1438042558002:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.15x + 55 = 90 5x = 35 x = 7 dw:1438042639067:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1GD = 2x  9 GD = 2(7)  9 GD = 14  9 GD = 5 dw:1438042673723:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so it would be A? because you solved outside the triangle ? @mathstudent55

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Yes. The orthocenter is outside the triangle and GD = 5. A is the answer.
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