Respuesta :
Answer:
The hypotenuse will have a length of 30 feet.
Step-by-step explanation:
[tex]a^{2} +b^{2}=c^{2}[/tex]
As it is an isosceles triangle, we know that the two legs are equal.
The two lengths are = [tex]15\sqrt{2}[/tex]
Lets find c.
[tex](15\sqrt{2})^{2} +(15\sqrt{2})^{2} = c^{2}[/tex]
[tex](225\times2)+(225\times2)=c^{2}[/tex]
[tex]450+450=c^{2}[/tex]
[tex]900=c^{2}[/tex]
[tex]c=\sqrt{900}[/tex]
[tex]c=30[/tex]
Thus, the hypotenuse will have a length of 30 feet.
