## OregonDuck one year ago help with Pythagoras' Theorem

1. OregonDuck

the hypotenuse of the right triangle is 13 and the base is 5 what is the height show your work

2. Nnesha

$\huge \rm a^2+b^2=c^2$ Pythagorean theorem c is the longest side( hypotenuse ) so plugin c and b value solve for a

3. OregonDuck

$5^{2}+b ^{2}=13^{2}$

4. Nnesha

looks good solve for b

5. OregonDuck

how?

6. Nnesha

btw base is b but that's not gonna change the answer

7. Nnesha

how would you cancel out 5^2 from left side ? would you add,subtract,multiply or divide by 5^2?

8. OregonDuck

mulitiply so...$25+b ^{2}=169$

9. Nnesha

that's right 25+b^2=169 now move 25 to the right side so how would you cancel out 25 from left side ?

10. OregonDuck

idk actullay

11. Nnesha

it's 25 +b^2 25 is positive at left side to cancel it out so should subtract 25 both sides

12. OregonDuck

i am confused

13. Nnesha

$\huge\rm 25 +b^2=169$ we have to solve for b so subtract 25 both sides

14. OregonDuck

25=144

15. Nnesha

|dw:1442344735597:dw| both sides what would you get when you subtract 25 at left side ?

16. OregonDuck

0 and on the right 144

17. Nnesha

yes right |dw:1442344859009:dw| to cancel out the square you should take square root both sides

18. OregonDuck

ok so it is 12? right the answer for the hieght

19. Nnesha

yes right

20. OregonDuck

ok sweet thxs so much

21. Nnesha

yw :=)