Q6 of 70 Page 140

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


Thus, the answer is 200.


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