In a rectangle ABCD, E is a point on AB such that AE=2/3AB. If AB=6km, AD=3km, then find AE?

Asked by archita123 | 5th Sep, 2015, 09:05: PM

Expert Answer:

G i v e n space t h a t space A E equals 2 over 3 A B A n d space A B equals 6 space k m rightwards double arrow A E equals 2 over 3 cross times 6 equals 4 space K m B y space a p p l y i n g space P y t h a g o r a s space t h e o r e m space i n space increment A D E comma D E squared equals A D squared plus A E squared rightwards double arrow D E squared equals 3 squared plus 4 squared rightwards double arrow D E squared equals 9 plus 16 rightwards double arrow D E squared equals 25 rightwards double arrow D E equals square root of 25 rightwards double arrow D E equals 5 space K m

Answered by Vimala Ramamurthy | 6th Sep, 2015, 11:36: AM