a ramp is 1 foot high. the base of the ramp extends 14 ft along the side of the building. how long is the sloped part of the ramp?
We can solve this using the pythagorean theorem: $$a^2 + b^2 = c^2$$
a and b are the legs of a right triangle, and c is the hypotenuse (the long side.)
Using the pythagorean theorem:
$$1^2 + 14^2 = c^2$$
$$$\sqrt{1 + 196} = c$$
$$$\sqrt{197} = c$$
Since 197 is prime, we cannot simplify it further.
We can approximate it at:$${\sqrt{{\mathtt{197}}}} = {\mathtt{14.035\: \!668\: \!847\: \!618\: \!199\: \!6}}$$
We can solve this using the pythagorean theorem: $$a^2 + b^2 = c^2$$
a and b are the legs of a right triangle, and c is the hypotenuse (the long side.)
Using the pythagorean theorem:
$$1^2 + 14^2 = c^2$$
$$$\sqrt{1 + 196} = c$$
$$$\sqrt{197} = c$$
Since 197 is prime, we cannot simplify it further.
We can approximate it at:$${\sqrt{{\mathtt{197}}}} = {\mathtt{14.035\: \!668\: \!847\: \!618\: \!199\: \!6}}$$