Question

In triangle RST,
If TX = 3, XR = TY, and
YS = 6, find XR.

Answer 1

x = 3√2 is what i got

Answer 2

`XR=3√(2)\ units`

Explanation:

see the attached figure to better understand the problem

we know that

The triangle RST and the triangle XYT are similar

then

the ratio of their corresponding sides are equal

`(XT)/(TR)=(TY)/(TS)`

substitute the values

`(3)/(a+3)=(a)/(a+6)`

`3(a+6)=a(a+3)\\3a+18=a^(2) +3a\\ a^(2)=18\\a=3√(2)\ units`

`XR=3√(2)\ units`