SOLUTION: How long must the brace be on a closet rod holder if the vertical side is 17 cm and the horizontal side must be attached 33 cm from the wall? Im totally stumped on how to solve thi

Algebra ->  Surface-area -> SOLUTION: How long must the brace be on a closet rod holder if the vertical side is 17 cm and the horizontal side must be attached 33 cm from the wall? Im totally stumped on how to solve thi      Log On


   

Question 1086764: How long must the brace be on a closet rod holder if the vertical side is 17 cm and the horizontal side must be attached 33 cm from the wall? Im totally stumped on how to solve this please help me with step by step directions!! thanks!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
They are just saying that the angle brace
where it attaches to the wall and
the end that holds the closet rod makes a
right triangle.
Let the length of the brace = +c+
--------------------------------------
From where the rod is held by the brace, the
horizontal distance to the wall is +33+ cm
---------------------------------------
Fro that point on the wall to where the brace
is attached to the wall = +17+ cm
I can say:
+c%5E2+=+33%5E2+%2B+17%5E2+
+c%5E2+=+1089+%2B+289+
+c%5E2+=+1378+
+c+=+37.121+ cm
The brace is 37.121 cm long
-----------------------------
check:
+c%5E2+=+33%5E2+%2B+17%5E2+
+37.121%5E2+=+33%5E2+%2B+17%5E2+
+1378+=+1089+%2B+289+
+1378+=+1378+
OK