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ICSE Class 8 Answered

If ABCD is rhombus and from D altitude is drawn to Ab and it bisect the AB. Find the angle of rhombus. 
Asked by Kundankumarkondil1999 | 30 Oct, 2018, 10:45: AM
answered-by-expert Expert Answer
From the figure and the information given in the question,
we can prove that,
ΔAED begin mathsize 16px style approximately equal to end style ΔBED     (SAS)
Therefore AD = BD (CPCT)
and sides of the Rhombus are equal.
AD = BD = AB
ΔAED is an equilaterakl triangle.
Sum of the adjacent angles of a rhombus is supplementary.
begin mathsize 16px style angle ABC thin space plus space angle BCD space equals space 180 to the power of 0 rightwards double arrow angle ABC thin space space plus space space 60 to the power of 0 space equals space space 180 to the power of 0 space space space space space.... left parenthesis Opp space angles space of space straight a space rhombus space are space equal right parenthesis rightwards double arrow angle ABC thin space space space equals space space 120 to the power of 0 space rightwards double arrow angle ABC thin space space space equals space angle ADC space equals space space space 120 to the power of 0 space space.... left parenthesis Opp space angles space of space straight a space rhombus space are space equal right parenthesis rightwards double arrow The space angles space of space the space Rhombus space are space 6 0 to the power of 0 comma 120 to the power of 0 comma 60 to the power of 0 space and space 120 to the power of 0. end style


Answered by Yasmeen Khan | 30 Oct, 2018, 12:35: PM

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