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CBSE Class 9 Answered

Find the area of the quadilateral whose side measures 9 cm , 40 cm , 28 cm and 15 cm.The angle between the first two sides of a quad. is a right angle ?
Asked by Vikas | 18 May, 2017, 11:06: PM
answered-by-expert Expert Answer
 
begin mathsize 14px style In space right space triangle space DAB comma DB squared equals AD squared plus AB squared equals 9 squared plus 40 squared equals 81 plus 1600 equals 1681 rightwards double arrow DB equals square root of 1681 equals 41 space cm Area space of space triangle DAB equals 1 half cross times AB cross times AD equals 1 half cross times 40 cross times 9 equals 180 space straight m squared In space triangle DCB comma 2 straight s equals DB plus BC plus CD equals 41 plus 28 plus 15 equals 84 space cm rightwards double arrow straight s equals 42 space cm Now comma space area space of space triangle DCB equals square root of 42 left parenthesis 42 minus 41 right parenthesis left parenthesis 42 minus 28 right parenthesis left parenthesis 42 minus 15 right parenthesis end root equals square root of 42 cross times 1 cross times 14 cross times 27 end root equals square root of 15876 equals 126 space straight m squared Now comma space area space of space quadrilateral space ABCD equals straight A left parenthesis triangle DAB right parenthesis plus straight A left parenthesis triangle DCB right parenthesis equals 180 plus 126 equals 306 space cm squared end style
Answered by Rashmi Khot | 19 May, 2017, 09:39: AM

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CBSE 9 - Maths
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