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CBSE Class 9 Answered

Show that equiangular triangle is also equilateral ?
Asked by Vikas | 13 Jul, 2017, 10:29: AM
answered-by-expert Expert Answer
begin mathsize 16px style Given colon increment ABC space is space equiangular. To space prove colon increment ABC space is space equilateral. Hence comma space AB equals BC equals AC Proof colon increment ABC space is space equiangular. rightwards double arrow angle straight A equals angle straight B equals angle straight C Consider comma angle straight A equals angle straight B rightwards double arrow AB equals AC.......... left parenthesis opposite space sides space of space equal space angles space in space triangle right parenthesis.... left parenthesis straight i right parenthesis Also comma angle straight A equals angle straight C rightwards double arrow AB equals BC....... left parenthesis ii right parenthesis From space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis AB equals BC equals AC Hence comma space increment ABC space is space equilateral. end style
Answered by Sneha shidid | 13 Jul, 2017, 10:55: AM

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