We are given that Dylan is making a ramp for bike jumps and that the ramp support forms a right angle. We also know that the base of this support is 12 feet long, and the height is 9 feet. Let x represents the length of plywood Dylan needs for the ramp.
As the ramp support and the ramp form a right triangle, we can use the Pythagorean Theorem to find the value of x. According to this theorem, the sum of the squared legs of a right triangle is equal to its squared hypotenuse.
12^2+9^2=x^2
Let's solve the above equation for x. Notice that, as x represents the length, we will only consider the positive case when taking a square root of x^2.
