L walks 3 km East and
turns south and walk 4 km.
again she twins west and walks
6 km. How far is she from
the starting points
Answers
✴QUESTION✴
L walks 3 km East and turns south and walk 4 km. again she twins west and walks 6 km. How far is she from
the starting points .
✴ANSWER✴
In Triangle ABE :-
According To Pythagoras theorem
(AE ) ² = (AB )² + (BE)²
Where,
- AB = 3km
- BE = 4Km.
=> AE ² = ( 3² + 4²)
=> AE² = (9+16)
=>AE² = (25 )
=>AE = ±√(25)
=> AE = ±5
But, we know,
Distance always be positive ,
So,
- AE = -5 is neglected .
Then,
- AE = 5 Km.
Thus:-
- Distance between starting and end point = 5 km.
Note:-
- For diagram see attachment .
_____________________
- Follow me
here A/c
suppose the man walk like this;
3km
A_______|B
| | 4km
| |
D _____E______. C
3 km. 3km
|-----------------------|
6 km
So,
Distance from
A to D is
Cont,
Draw AE llel to BC and equal to BC
So,
EC is DC-3km
i.e
6-3
EC = 3 km
So, we have found AE and EC and DE
Now by Pythagoras theorem
AE^2 +DE^2=AD^2
4^2+3^2=AD^2
16+9=AD^2
25=AD^2
AD=√25
AD=5 km
So,