FIND THE AREA OF A CYCLIC QUAD. HAVING SIDES 5 CM,6CM,7CM AND 8CM.

Asked by nisha_vini29 | 22nd May, 2015, 11:36: PM

Expert Answer:

T h e space s i d e s space o f space t h e space g i v e n space q u a d r i l a t e r a l space a r e colon space 5 space c m comma space 6 space c m comma space 7 space c m comma space 8 space c m T h e n space t h e space s e m i space p e r i m e t e r space o f space t h e space c y c l i c space q u a d r i l a t e r a l space s equals fraction numerator a plus b plus c plus d over denominator 2 end fraction therefore A r e a space o f space t h e space q u a d r i l a t e r a l equals square root of open parentheses s minus a close parentheses open parentheses s minus b close parentheses open parentheses s minus c close parentheses open parentheses s minus d close parentheses end root therefore s equals fraction numerator 5 plus 6 plus 7 plus 8 over denominator 2 end fraction equals 13 rightwards double arrow A equals square root of open parentheses 13 minus 5 close parentheses open parentheses 13 minus 6 close parentheses open parentheses 13 minus 7 close parentheses open parentheses 13 minus 8 close parentheses end root rightwards double arrow A equals square root of 8 cross times 7 cross times 6 cross times 5 end root rightwards double arrow A equals square root of 1680 rightwards double arrow A equals 4 square root of 105 space c m squared

Answered by Vimala Ramamurthy | 23rd May, 2015, 10:05: AM