Question

Sides of similar triangles are in the ratio of 16:25. Areas of these triangle are in which ratios?

Answer 1

Formula:

$\dfrac{Area_1}{Area_2} = \bigg( \dfrac{Length_1}{Legnth_2} \bigg)^2$

Find the ratio of the area:

Given that the ratio of the sides is = 16 : 26

$\dfrac{Area_1}{Area_2} = \bigg( \dfrac{16}{25} \bigg)^2$

$\dfrac{Area_1}{Area_2} = \dfrac{256}{625}$

Answer: The ratio of the area of the triangle = 256 : 625