SOLUTION: For the right triangle shown, the lengths of two sides are given. Find the third side. Leave your answer in simplified, radical form. b = 9, c = 16 a =

Algebra ->  Triangles -> SOLUTION: For the right triangle shown, the lengths of two sides are given. Find the third side. Leave your answer in simplified, radical form. b = 9, c = 16 a =       Log On


   



Question 310867: For the right triangle shown, the lengths of two sides are given. Find the third side. Leave your answer in simplified, radical form.


b = 9, c = 16
a =

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I don't see a diagram.
If a is the longest side, then
+a%5E2=b%5E2%2Bc%5E2=81%2B256=337
a=sqrt%28337%29
.
.
.
If a is not the longest side, then
c%5E2=a%5E2%2Bb%5E2
a%5E2=c%5E2-b%5E2=256-81=175
a=5%2Asqrt%287%29