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?

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 hypo class=

Respuesta :

Answer:

[tex]\sqrt{106}\ ft[/tex]

Step-by-step explanation:

we know that

Any right triangle, must satisfy the Pythagorean Theorem

so

[tex]c^2=a^2+b^2[/tex]

where

c is the hypotenuse (greater side)

a and b are the legs (perpendicular sides)

substitute the given values

[tex]c^2=5^2+9^2[/tex]

[tex]c^2=106[/tex]

[tex]c=\sqrt{106}\ ft[/tex]