OakliD241260 OakliD241260

30-10-2022
Mathematics

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given ex is parallel to line tw prove rs times st equals as times sx

given ex is parallel to line tw prove rs times st equals as times sx class=

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CambrynH608386 CambrynH608386

30-10-2022

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

triangle XRS and triangle TWS are similar by AA similarity theorem

that means

XR/TW=RS/WS=XS/TS

so

RS/WS=XS/TS

multiply in cross

RS*TS=XS*WS

rewrite

RSST=WSSX -----> is proved

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