Answer:
the answer is the option C
\(17.1\ in\)
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
\(x^{2} =y^{2}+y^{2}\)
\(x^{2} =2y^{2}\)
In this problem we have
\(y=7\sqrt{3}\ in\)
Substitute and solve for x
\(x^{2} =2(7\sqrt{3})^{2}\)
\(x=17.1\ in\)
