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Mathematics 15 Online
OpenStudy (anonymous):

Geometry Question (firgure in comments) Thanks! 1. Is triangle WUX similar to triangle VUY?

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

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

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

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

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?

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?

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

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