Question

if triangle ROQ is similar to tri.POS, then the value of OS is​

Answer 1

it's 52

Step-by-step explanation:

ok easy it's 52. ok 5 2

Answer 2

Given:

Triangle ROQ is similar to triangle POS.

SP= 4.5cm, RQ= 3cm, OR =OQ= 3.5cm

To find:

Value of OS.

Solution:

According to the criteria of similarity of triangles, if two triangles are similar then their corresponding sides will be in the same proportion.

Hence,

As triangle ROQ is similar to triangle POS

So, we have

$\frac{SP}{RQ} = \frac{OS}{OQ}$

$\frac{4.5}{3} = \frac{OS}{3.5}$

$OQ = \frac{4.5 \times 3.5}{3}$

$OQ = 5.25cm$

Hence, the value of OS is 5.25cm.