A baseball diamond is pictured below. A baseball diamond is a square with sides of 90 feet. If a runner tries to steal second base, how far must the catcher, at home plate, throw to get the runner out?

A baseball diamond is pictured below A baseball diamond is a square with sides of 90 feet If a runner tries to steal second base how far must the catcher at hom class=

Respuesta :

Hey there! :

Using the Pythagorean theorem, we can find the length of the hypotenuse:

90² + 90² = x²

8100 + 8100= x²

x² = 8100 + 8100

x² = 16200

x = √ 16200

C = 127.2

Hope this helps!

[tex]\huge{\green{\underline{\underline{\tt{\orange{ANSWER:-}}}}}}[/tex]

By the Pythagoras theorem,

[tex]:\implies\sf{ {90}^{2} + {90}^{2} = {x}^{2} } \\ \\ :\implies\sf{8100 + 8100 = {x}^{2} } \\ \\ :\implies\sf{ {x}^{2} = 8100 + 8100} \\ \\ :\implies\sf{ {x}^{2} = 16200} \\ \\ :\implies\sf{x = \sqrt{16200} } \\ \\ :\implies\sf{x = 127.2}[/tex]