Question

Ratios of areas of two similar triangles is 144:441 then ratio of their perimeter is

Answer 1

Answer:

Step-by-step explanation:4:7

Answer 2

The ratios of perimeters of two similar triangles is "12 : 21 or 4 : 7".

Step-by-step explanation:

Given,

The ratios of areas of two similar triangles = 144 : 441

To find, the ratios of perimeters of two similar triangles = ?

We know that,

In similar triangle,

$\dfrac{Area of triangle 1}{Area of triangle 2} =\dfrac{Perimeter of triangle 1^{2} }{Perimeter of triangle 2^{2} }$

⇒$\dfrac{Perimeter of triangle 1^{2} }{Perimeter of triangle 2^{2}}=\dfrac{144}{441}$]

⇒$\dfrac{Perimeter of triangle 1^{2} }{Perimeter of triangle 2^{2}}=\dfrac{12^{2}}{21^{2}}$

⇒ The ratios of perimeters of two similar triangles = 12 : 21 or 4 :7.

Hence, the ratios of perimeters of two similar triangles is 12 : 21 or 4 : 7.