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Example Question #1 : How To Find If Trapezoids Are Similar
Trapezoid A and Trapezoid B are similar. The bases of Trapezoid A are and . Trapezoid B has a smaller base of . How long is the larger base of Trapezoid B?
Because the two trapezoids are similar, the ratio of their bases must be the same. Therefore, we must set up a cross-multiplication to solve for the missing base:
, using as the variable for the missing base.
Therefore, the length of the longer base of Trapezoid B is .