SOLUTION: In trapezoid ABCD, AC is a diagonal and ∠ABC≅∠ACD. Find AC if the lengths of the bases BC and AD are 12m and 27m respectively.

Question 1134338: In trapezoid ABCD, AC is a diagonal and ∠ABC≅∠ACD. Find AC if the lengths of the bases BC and AD are 12m and 27m respectively.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

we are given trapezoid
is a diagonal
∠ ≅ ∠
we know that
and are parallel
so, < = <
so, Δ ≅ Δ
Since, both triangles are similar
so, their ratios must be equal
we get

now, we can plug values

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