Question

in the adjoining figure x and y are respectively two points on equal sides ab and ac of triangle abc such that ax =ay.prove that cx=by​

Answer 1

Answer:

Given :-

Given :-AX = AY

Given :-AX = AYIn ΔAXC and ΔAYB ,

Given :-AX = AYIn ΔAXC and ΔAYB ,AX = AY [ Given ]

Given :-AX = AYIn ΔAXC and ΔAYB ,AX = AY [ Given ]BC = AB [ Given ]

Given :-AX = AYIn ΔAXC and ΔAYB ,AX = AY [ Given ]BC = AB [ Given ]∠A = ∠A [ Common ]

Given :-AX = AYIn ΔAXC and ΔAYB ,AX = AY [ Given ]BC = AB [ Given ]∠A = ∠A [ Common ]ΔAXC ≅ ΔAYB [ SAS ]

Given :-AX = AYIn ΔAXC and ΔAYB ,AX = AY [ Given ]BC = AB [ Given ]∠A = ∠A [ Common ]ΔAXC ≅ ΔAYB [ SAS ]Hence ,

Given :-AX = AYIn ΔAXC and ΔAYB ,AX = AY [ Given ]BC = AB [ Given ]∠A = ∠A [ Common ]ΔAXC ≅ ΔAYB [ SAS ]Hence ,XC = YB [ cpct ]

Given :-AX = AYIn ΔAXC and ΔAYB ,AX = AY [ Given ]BC = AB [ Given ]∠A = ∠A [ Common ]ΔAXC ≅ ΔAYB [ SAS ]Hence ,XC = YB [ cpct ]-----> Proved !!!

Answer 2

Answer:

in the adjoining figure x and y are respectively two points on equal sides ab and ac of triangle abc such that ax =ay.prove that cx=by