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CBSE Class 9 Answered

If I is the incentre ofincrement A B C and AI is produced to meet BC at X , then AI :IX = ?
Asked by Alok | 31 Mar, 2016, 08:53: PM
answered-by-expert Expert Answer
begin mathsize 12px style straight I thin space is space the space incetre space of space the space circle.
Hence comma space AX comma space BI space and space CI space are space angle space bisectors space of space the space triangle.
In space triangle space ABX comma space
AB over BX equals AI over IX space left parenthesis angle space bisector space theorem right parenthesis
Similalry comma space in space triangle space ACX comma
AC over CX equals AI over IX space left parenthesis angle space bisector space theorem right parenthesis backslash
Hence comma space AI over IX equals AB over BX equals AC over CX end style
Answered by satyajit samal | 04 Apr, 2016, 09:08: AM
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