Answer:
The length of the unknown side is 10 meters
Step-by-step explanation:
we know that
In this problem we have an isosceles right triangle
Applying the Pythagorean Theorem
[tex]c^2=a^2+b^2[/tex]
where
c is the hypotenuse (unknown side)
a and b are the legs
we have
[tex]a=7\ m\\b=7\ m[/tex]
substitute
[tex]c^2=7^2+7^2[/tex]
[tex]c^2=(2)7^2[/tex]
[tex]c=7\sqrt{2}\ m[/tex]
[tex]c=9.9\ m[/tex]
Round to the nearest whole number
[tex]c=10\ m[/tex]
therefore
The length of the unknown side is 10 meters
