Question

6.
Areas of two similar triangles are in the ratio 16: 81. Therefore,
corresponding sides of these triangles are in the ratio
(A) 9:4
(B) 4:9
(C) 2:3
(B) 16:81​

Answer 1

Answer:

correct option is ( B)

Step-by-step explanation:

follow me

Answer 2

Answer:

(B) 4 : 9

Step-by-step explanation:

If the two triangles are similar, then

$\Big (\dfrac{\text{Area1}}{\text{Area2}} \Big) = \Big (\dfrac{\text{Length1}}{\text{Length2}} \Big)^2$

Find the ratio of the length:

$\Big (\dfrac{\text{Length1}}{\text{Length2}} \Big)^2 = \Big (\dfrac{\text{Area1}}{\text{Area2}} \Big)$

$\Big (\dfrac{\text{Length1}}{\text{Length2}} \Big)^2 = \Big (\dfrac{\text{16}}{\text{81}} \Big)$

$\dfrac{\text{Length1}}{\text{Length2}} = \sqrt{ \dfrac{\text{16}}{\text{81}}$

$\dfrac{\text{Length1}}{\text{Length2}} = \dfrac{\text{4}}{\text{9}}$

Answer: (B) 4 : 9