Question

Which of these two answer choices would it be?

I know that the two triangles are similar but I don't know answer choice is correct. Can someone please explain which answer is correct?

Answer 1

`"see explanation"`

Explanation:

`"Since we are given the lengths of 3 sides in both triangles"`

`• " check if corresponding sides are proportional"`

`"consider the ratios of "color(blue)"corresponding sides"`

`color(red)(BD)/color(blue)(RT),color(red)(BC)/color(blue)(RS)" and "color(red)(CD)/color(blue)(RS)`

`color(red)(BD)/color(blue)(RT)=810/1395=18/31`

`color(red)(BC)/color(blue)(RS)=666/1147=18/31`

`color(red)(CD)/color(blue)(RS)=450/775=18/31`

`"thus by SSS "triangleRST" is similar to "triangleBCD`