# 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

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
8 years ago
Hello student,
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
NOTE: hererepresents triangle