tag:blogger.com,1999:blog-2787161678592839240.post3565015840482076527..comments2024-03-28T15:06:26.752+05:30Comments on www.mathsblog.in : Maths Blog for School Teachers & Students: Aparna and her uncleവി.കെ. നിസാര്http://www.blogger.com/profile/14303804236214732024noreply@blogger.comBlogger6125tag:blogger.com,1999:blog-2787161678592839240.post-76186600458761234582009-09-02T07:33:52.964+05:302009-09-02T07:33:52.964+05:30square of a + a + a+1 = square of a+1
Muraleedha...square of a + a + a+1 = square of a+1<br /><br /><br />Muraleedharan<br />VattenadAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-2787161678592839240.post-84460093432375938492009-08-29T12:50:50.354+05:302009-08-29T12:50:50.354+05:30square of (a-1)=square of a-2*a+1
square of (17)=...square of (a-1)=square of a-2*a+1<br /><br />square of (17)=square of 18-2*18+1<br /><br />SM nileshwarAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-2787161678592839240.post-41461183883584852432009-08-29T12:46:28.974+05:302009-08-29T12:46:28.974+05:30square of (a-1)=square of a-2*a + 1
square of (1...square of (a-1)=square of a-2*a + 1<br /><br /><br />square of (17)=square of 18-2*18 + 1<br /><br /><br />SM nileshwarAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-2787161678592839240.post-85218571867164336782009-08-29T10:00:09.080+05:302009-08-29T10:00:09.080+05:30Dear thomas
A, B , C ARE THE SIDES OF THE TRIANGLE...Dear thomas<br />A, B , C ARE THE SIDES OF THE TRIANGLE.<br /> A+B >C<br />THIS CAN BE WRITTEN AS SQUARE OF (ROOT A) + SQUARE OF ROOT B > SQUARE OF ROOT C<br />ADD 2* ROOT A* ROOT B ON BOTH SIDES<br />SQUARE OF ROOT A + SQUARE OF ROOT B+2* ROOT A *ROOT B<br /><br /> > SQUARE OF ROOT C + 2* ROOT A *ROOT B<br />LHS > RHS<br />SQUARE OF ( ROOT A + ROOT B)> SQUARE OF ROOT C + 2* ROOT A *ROOT B<br />REMOVE 2* ROOT A *ROOT B FROM RHS<br />INEQUALITY WILL NOT CHANGE<br /><br />NOW WE GET<br />SQUARE OF (ROOT A +ROOT B) > SQUARE OF ROOT C<br />TAKE SQUARE ROOT ON BOTH SIDES<br />ROOT A +ROOT B > ROOT C<br />NOTE <br />SINCE A, B ,C ARE THE SIDES OF THE TRIANGLE , NEGETIVE VALUE OF SQUARE ROOT IS NOT VALIED<br />ASSUMPTION IS CORRECT<br />WE CAN FIND INFINITE EXAMPLES<br />36,49,64 ARE THE SIDE<br />6,7 AND 8 IS THE REQUIRED ANS<br /><br />EXPECT COMMENDS FOR THIS<br /><br />JOHN P A HOLY INFANTS BOYS HIGH SCHOOL VARAPUZHA<br />9847307721Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-2787161678592839240.post-57367914185817010832009-08-29T09:35:27.807+05:302009-08-29T09:35:27.807+05:30given A,B,C are not in aline
hence A+B>C (1)
s...given A,B,C are not in aline<br />hence A+B>C (1)<br /><br />suppose rootA,rootB,rootC are colliniear<br />then rootA+rootB=rootC<br /> ie A+B+2rootA*rootB=C<br /> ie A+B less than C. this is against (1)<br />hence the assumption is wrong<br />thomasAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-2787161678592839240.post-20819388359040626452009-08-29T08:52:19.749+05:302009-08-29T08:52:19.749+05:30This is an application type question suitable for ...This is an application type question suitable for VIII standard ALGEBRA.After completing this unit we can give this question to the coolection book. <br />Answer is simple for an average student<br /> let square of A = k<br />square of(A-1) = k - 2*A + 1<br />hence Ans<br />I WOULD LIKE TO GIVE A SUPPLIMENT TO THIS QUESTION<br /><br />PROBLEM<br />Given A,B,C the sides of a triangle<br />Prove that there exist a triangle with side <br />root A .root B and root C<br />Can you suggest example with integral sides<br />P A JOHN HIBHS VARAPUZHAAnonymousnoreply@blogger.com