To show that triangle ABC and triangle XYZ are similar, we need to show that all corresponding angles are equal and that the corresponding sides are in proportion.
Given:
AB = 12 cm
XY = 8 cm
XC = 6 cm
Since AB = XY, ∠A = ∠X (corresponding angles are equal by SAS).
Also, XC = 6 cm = 0.5*AB
Therefore, BC = 0.5*BC = 0.5*12 = 6 cm
Therefore, triangle ABC and triangle XYZ are similar by the SAS similarity criterion.
And BC = 6 cm.
show that triangle ABC and xyz in the diagram below are similar if AB is equal to 12 cm XY is equal to 8 cm and XC is equal to 6 cm find BC
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