The right triangle represents a sketch of a wheelchair ramp that meets safety requirements. What is the horizontal distance required for the ramp? Round your answer the nearest tenth
Pythagorean Theorem: \(a^2+b^2=c^2\)
a and b are the legs of the triangle and c is the hypotenuse
Keep in mind that the Pythagorean Theorem only works on right triangles
Replacing a with 12 and c with 144 we get \(12^2 + b ^2 = 144^2\)
which becomes \(144+b^2 = 20736\)
Now we subtract 144 from 20736 and get \(b^2 = 20592\)
so \(b = \sqrt{20592}\) which is about 143.499128...
Rounding that to the nearest tenth we get 143.5
So the answer is 143.5 inches
Correct me if im wrong!