SOLUTION: In a right triangle, find the length of the side not given. ___ b=1, c=\/26 thank you!!!!

Algebra ->  Triangles -> SOLUTION: In a right triangle, find the length of the side not given. ___ b=1, c=\/26 thank you!!!!       Log On


   

Question 177373: In a right triangle, find the length of the side not given.
___
b=1, c=\/26
thank you!!!!
Found 2 solutions by Mathtut, jim_thompson5910:
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
so we havea%5E2%2Bb%5E2=c%5E2
:
a%5E2%2B1%5E2=sqrt%2826%29%5E2
:
a%5E2=26-1
:
a%5E2=25
:
a=sqrt%2825%29
:
highlight%28a=5%29

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
a%5E2%2Bb%5E2=c%5E2 Start with Pythagorean's theorem


a%5E2%2B1%5E2=%28sqrt%2826%29%29%5E2 Plug in b=1 and c=sqrt%2826%29


a%5E2%2B1=%28sqrt%2826%29%29%5E2 Square 1 to get 1


a%5E2%2B1=26 Square sqrt%2826%29 to get 26


a%5E2=26-1 Subtract 1 from both sides.


a%5E2=25 Combine like terms.


a=sqrt%2825%29 Take the square root of both sides. Note: since this is a side length, a negative length does not make sense. So we're only considering the positive square root.


a=5 Take the square root of 25 to get 5


===================================

Answer:


So the solution is a=5 which means that the missing side length is 5 units.