Question

NO LINKS!! Please help me with this problem​

Answer 1

`\\ \rm\Rrightarrow (GH)/(HI)=(UT)/(UQ)`

`\\ \rm\Rrightarrow (56)/(HI)=(35)/(25)=(7)/(5)`

`\\ \rm\Rrightarrow HI=56(5)/7=8(5)=40`

#QR

`\\ \rm\Rrightarrow (GH)/(JI)=(UT)/(RQ)`

`\\ \rm\Rrightarrow (56)/(72)=(35)/(RQ)`

`\\ \rm\Rrightarrow (7)/(9)=(35)/(RQ)`

`\\ \rm\Rrightarrow RQ=35(9)/7=5(9)=45`

#ST

`\\ \rm\Rrightarrow (GH)/(FG)=(UT)/(ST)`

`\\ \rm\Rrightarrow (56)/(48)=(7)/(6)=(35)/(ST)`

`\\ \rm\Rrightarrow ST=6(35)/7=6(5)=30`

Answer 2

FGHIJ ≅ STUQR

Solve for HI

`\sf (HI)/(GH) = (UQ)/(UT)`

`\rightarrow \sf (HI)/(56) = (25)/(35)`

`\rightarrow \sf HI = 40`

Solve for QR

`\sf (IJ)/(GH) = (QR)/(UT)`

`\rightarrow \sf (72)/(56) = (QR)/(35)`

`\rightarrow \sf QR = 45`

Solve for ST

`\sf (FG)/(GH) = (ST)/(UT)`

`\rightarrow \sf (48)/(56) = (ST)/(35)`

`\rightarrow \sf ST =30`