Answer:
[tex]8\sqrt{2}\ ft[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
Remember that
An isosceles triangle has two equal sides and two equal interior angles
In the isosceles triangle ABC
Applying the Pythagorean Theorem
Let
b ----> the length of the tents base
[tex]9^2=7^2+(b/2)^2[/tex]
[tex](b/2)^2=9^2-7^2[/tex]
[tex](b^2/4)=32[/tex]
[tex]b^2=128\\\\b=\sqrt{128}\ ft[/tex]
simplify
[tex]b=8\sqrt{2}\ ft[/tex]
