TrigonometryTriangles ABC and XYZ are shown in the coordinate plane below.
3 months ago
Triangles ABC and XYZ are shown in the coordinate plane below. Are triangles ABC and XYZ similar? (Justify your answer using one or more transformations.)
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Best Answer
britneyspearsticketsphilippines Staff answered 3 months ago
Sol qn: △ ABC AB=4 BC=3 AC=sqrt(4^(2)+3^(2)) =5 Now qn: △ XYZ, (△ ABC and △ XYZ) XY=12-4=8=2AB are angle Y2=8-2=6=2BC △ x2=sqrt(8^(2)+6^(2))= 20=2AC △ ABC and △ XYZ (XY)/(AB)=2,(Y2)/(BC)=2,(XZ)/(AC)=2 arrow (XY)/(AB)=(YZ)/(BC)=(XZ)/(AC)=2 Since sides of corresponding triongles are proportional. △ ABC ~ △ XYZ (Bysss)
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