If two scalene triangles are equiangular , prove that the ratio of the corresponding sides is same as the ratio of the corresponding angle bisector segment. URGENT. Please reply quickly

Hello student,
Please find the answer to your question below
Let the two triangles be ABC and PQR
Given in triangles ABC and PQRA=P,B=Q,C=R
AD,PS are the bisectors ofA andP respectively
We have to prove (AB/PQ)=(BC/QR)=(CA/RP)=(AD/PS)
ABCPQR so from given and AAA criterion
(AB/PQ)=(BC/QR)=(CA/RP)=constant........(1)
inADC andPSR
DAC=SPR.........since given (1/2)A=(1/2)P
C=R......given
SoADCPSR ….from AA criterion
So (AD/PS)=(CA/RP)........(2)
From 1 and 2(AB/PQ)=(BC/QR)=(CA/RP)=(AD/PS)
NOTE: hererepresents triangle

Approved