Q. 6 D5.0( 1 Vote )

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 _______.

Answer :

Given: Area of two similar triangles.

Area of ∆1 = 25

Area of ∆2 = 16

Recall two properties:


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


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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