the lengths of the sides triangles abc and xyz are shown in, Ratio And Percentage, Mathematics (O-Level)

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Question:The lengths of the sides of the triangles ABC and XYZ are shown in figure. Are the triangles similar? If so, find an angle equal to the angle A.

Figure Triangle:

Answer XY:XZ:YZ=6:8:10=3:4:5=AB:BC:AC
 Therefore the triangles ABC and YXY are similar (corresponding sides are XY and AB; XZ and BC; YZ and AC).
 The angle A is opposite BC. It therefore equals the angle opposite XZ, i.e. the angle Y.

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The lengths of the sides of the triangles ABC and XYZ are shown in figure. Are the triangles similar? If so, find an angle equal to the angle A. Figure Triangle:

Question:The lengths of the sides of the triangles ABC and XYZ are shown in figure. Are the triangles similar? If so, find an angle equal to the angle A. Figure Triangle:

Answer XY:XZ:YZ=6:8:10=3:4:5=AB:BC:AC Therefore the triangles ABC and YXY are similar (corresponding sides are XY and AB; XZ and BC; YZ and AC). The angle A is opposite BC. It therefore equals the angle opposite XZ, i.e. the angle Y.