△abc and △xyz are similar. find the missing side length.\n(the triangles are not drawn to scale.)
△abc and △xyz are similar. find the missing side length.\n(the triangles are not drawn to scale.)
Answer
Explanation:
Step1: Find the scale factor
Since (\triangle ABC) and (\triangle XYZ) are similar, the ratio of corresponding sides is equal. The ratio of (AB) to (XY) is (\frac{AB}{XY}=\frac{27}{3} = 9).
Step2: Calculate the missing side
Let the missing side be (BC). We know that (\frac{BC}{YZ}=9) (because of the scale - factor). Given (YZ = 6), then (BC=9\times6).
Answer:
(54)