Q. 6 H5.0( 1 Vote )

# Fill in the blanks so that the following statements are true:The correspondence ABC ↔ XYZ is a similarity in ΔABC and ΔXYZ. ABC = 72, BC = 6, YZ = 10. Then XYZ = ______.

Given: The correspondence ABC XYZ is a similarity in ABC and XYZ.

ABC = 72,

BC = 6 &

YZ = 10

To find: XYZ = ?

So, by property we can say that,

Ratio of areas of two similar triangles = Ratio of squares of the corresponding sides

Taking reciprocal of both sides, we get

Substituting values in the above equation, we get

XYZ = 200

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