## anonymous one year ago Calculating distance between two points on a coordinate plane! HELP

1. anonymous

2. anonymous

I know the answer is 7.3 km, but how do you get that answer?

3. anonymous

have you learnt Pythagoras theorem?

4. anonymous

A little bit yeah

5. anonymous

I still get easily confused by this stuff, anything math related I'm usually garbage at :b

6. anonymous

|dw:1444030320171:dw|

7. anonymous

so what we do, we want to know the horizontal length and the vertical length that corresponds to both points

8. anonymous

|dw:1444030488093:dw|

9. anonymous

so apply pythagoras theorem to determine the hypotenuse (the distance between the two points)

10. anonymous

we always imply that the distance of two points is always the quickest/shortest distance

11. anonymous

$a ^{2}+b ^{2}=c ^{2}$ where a is one side length, b is the other side length and c is the hypothenuse length

12. anonymous

|dw:1444030678521:dw|

13. anonymous

so would it be 2+8=c?

14. anonymous

remember each term is squared

15. anonymous

4+64=c ?

16. anonymous

even the c term is squared! haha

17. anonymous

oops. i made a mistake, the vertical length is not 8 units long

18. anonymous

it should be 7

19. anonymous

|dw:1444030885728:dw|

20. anonymous

4 + 49 = c (squared) then add 53 = c (squared)

21. anonymous

yep! now just square root both sides to find the answer

22. anonymous

7.280 from my calculator, so 7.3 km

23. anonymous

$c ^{2}=54$ $\sqrt{c ^{2}}=\sqrt{54}$ $c=\sqrt{}$

24. anonymous

yep! awesome job

25. anonymous

Awesome, thank you! :)

26. anonymous

no problem. fan and medal if you need help another time