Question

Glen is planting square flower gardens surrounding a triangular fishpond as shown. If the sides of the triangular fishpond are 5 ft and 9 ft, how long is the hypotenuse of the pond?

Answer 1

Answer:

$h=\sqrt{106} \approx 10.3$ feet

Step-by-step explanation:

We will use the Pythagorean Theorem to solve this. Which states that:

One Length^2 + Another Length^2 = Hypotenuse^2

We can take one length as 5 ft and another length as 9 ft and we call the hypotenuse "h", so we have:

$5^2+9^2=h^2$

Now, let us solve for "h":

$5^2+9^2=h^2\\25 + 81 = h^2\\106=h^2\\h=\sqrt{106} \approx 10.3$

The pond's hypotenuse is about 10.3 feet