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:

$\sqrt{106}\ ft$

Step-by-step explanation:

we know that

Any right triangle, must satisfy the Pythagorean Theorem

so

$c^2=a^2+b^2$

where

c is the hypotenuse (greater side)

a and b are the legs (perpendicular sides)

substitute the given values

$c^2=5^2+9^2$

$c^2=106$

$c=\sqrt{106}\ ft$