Mathematics
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OpenStudy (anonymous):
Geometry Question (firgure in comments)
Thanks!
1. Is triangle WUX similar to triangle VUY?
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OpenStudy (anonymous):
OpenStudy (anonymous):
Sorry, I think it is based on Similarity of Triangles..
I have no clue how to do that..
OpenStudy (anonymous):
okay thanks
OpenStudy (anonymous):
How can we find the base for triangle XYZ, I have no clue for this..
OpenStudy (perl):
this isnt hard
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OpenStudy (anonymous):
Sorry @perl it is for me....
OpenStudy (perl):
there is no K in your diagram
OpenStudy (perl):
if KW/RT=6/5 and the area of triangle QRS= 75cm, calculate the area of triangle XYZ..?
OpenStudy (anonymous):
ZW/RT*
OpenStudy (perl):
so thats your proportionality constant
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OpenStudy (perl):
if ZW/RT = 1.2, then ZW = 1.2*RT
OpenStudy (perl):
and that goes for all the sides
OpenStudy (perl):
XZ = 1.2 * QR
OpenStudy (anonymous):
Okay.
OpenStudy (perl):
what is area of triangle QRS
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OpenStudy (anonymous):
Im super lost sorry, Im not sure how to start to solve for the area
OpenStudy (perl):
area = 1/2* base * height
OpenStudy (anonymous):
area of QRS is 75...
OpenStudy (anonymous):
Where did you get 1.2?
OpenStudy (perl):
use the formula.
1.2 = 6/5
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OpenStudy (anonymous):
oh okay.
OpenStudy (perl):
use for the formula for area of a triangle
OpenStudy (perl):
area = 1/2 *QT * RS
OpenStudy (perl):
75 = 1/2 * QS * RT
OpenStudy (anonymous):
37.5?
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OpenStudy (perl):
now substitute , we know that XY = 1.2 * QS
OpenStudy (perl):
where are you getting 37.5
OpenStudy (anonymous):
Im really lost so 1.2 is all sides of xyz?
OpenStudy (anonymous):
@perl I got 108cm!
OpenStudy (anonymous):
Is that correct?
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OpenStudy (perl):
lets see
OpenStudy (perl):
yes
OpenStudy (anonymous):
thank you!
OpenStudy (perl):
so area XYZ = 1/2 (1.2*QS) (1.2*RT) = 1.2^2 * 1/2* QS * RT = 1.2^2 *75