# Math Help - geometry

1. ## geometry

HELP [LEFT]A 12 foot ladder leans against the side of a building. The foot of the ladder is 5 feet from the wall of the building. Determine the height above the ground where the top of the ladder touches the wall.

2. Originally Posted by amathgizzard

12+5=
144+25=194
do you know what Pythogaras' theorem says?

it says $a^2 + b^2 = c^2$

where (in a right triangle) $a$ and $b$ are the legs of the triangle and $c$ is the hypotenuse, that is, the longest side (in this case, it is the length of the ladder)

3. ok I understand what ur sayin, but what is the answer 194 squared

4. Originally Posted by amathgizzard
ok I understand what ur sayin, but what is the answer 194 squared
no.

if you understood what i said you should see that what you need to do is solve

$a^2 + 5^2 = 12^2$ for $a$

no, $\sqrt{119}$ is the answer