Answer:
the answer is the option C
[tex]17.1\ in[/tex]
Step-by-step explanation:
we know that
An isosceles right triangle has two equal legs
Let
x------> the length side of the hypotenuse
y-----> the length side of the leg
Applying the Pythagoras theorem
[tex]x^{2} =y^{2}+y^{2}[/tex]
[tex]x^{2} =2y^{2}[/tex]
In this problem we have
[tex]y=7\sqrt{3}\ in[/tex]
Substitute and solve for x
[tex]x^{2} =2(7\sqrt{3})^{2}[/tex]
[tex]x=17.1\ in[/tex]
