Let's begin with recalling the Pythagorean Theorem.
In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
a^2+ b^2= c^2
Now, let's look at the given picture which presents the small park in the corner of two perpendicular streets. We will name the point of intersection of these streets D.
Since △ ADC is a right triangle, we can use the Pythagorean Theorem to evaluate the length of AC.
AC^2=AD^2+DC^2
Let's substitute the given side lengths and solve for AC. Notice that, since AC represents a length, we will consider only the positive case when taking a square root of AC^2.
