Q6 of 70 Page 140

Fill in the blanks so that the following statements are true:

Areas of two similar triangles are 25 and 16. The ratio of the perimeters of the triangles is _______.

Given: Area of two similar triangles.


Area of ∆1 = 25


Area of ∆2 = 16


Recall two properties:


First,


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


Second,


Ratio of perimeter of two similar triangles = Ratio of corresponding sides


Using the first property, we can write that



⇒


Taking under root of both sides, we get



⇒


⇒


Now, using second property, we can say



Thus, answer is 5/4.


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