ateulatĂ¨ralAABC,ANisperpendiculartoBC.ProvethatAN3BN9. Prove by Pyt

1.	ateulatĂ¨ralAABC,ANisperpendiculartoBC.ProvethatAN3BN9. Prove by Pythagoras' theorem that the diagonals of a rectangle are equal in length.
Answer» Forthe asked question, we need to draw a rectangle, that is, Consider a rectangle ABCD, Join B and D, similarly join A and C, therefore by joining this Diagonals AC and BD are formed. Now in triangle BAD,BD2= AB2+AD2( by pythagorus theorm.) Similarly in triangle BAC,AC2=BC2+AB2(same reason.) Therefore BC=AD and AB is the commom in both,so AC2=BD2. Which implies that AC =BD. Hence,Proved.

ateulatĂ¨ralAABC,ANisperpendiculartoBC.ProvethatAN3BN9. Prove by Pythagoras' theorem that the diagonals of a rectangle are equal in length.

Answer»

Forthe asked question, we need to draw a rectangle, that is,

Consider a rectangle ABCD, Join B and D, similarly join A and C, therefore by joining this Diagonals AC and BD are formed.

Now in triangle BAD,BD2= AB2+AD2( by pythagorus theorm.)

Similarly in triangle BAC,AC2=BC2+AB2(same reason.)

Therefore BC=AD and AB is the commom in both,so AC2=BD2.

Which implies that AC =BD.

Hence,Proved.