Answer:
c = 9√(2)
Explanation:
The equation for finding the length of the hypotenuse of a right triangle is:
a² + b² = c²
where a and b are the legs of the right triangle and c is the hypotenuse.
In this case, we know that a = 9 and b = 9.
Plug a and b into the equation.
9² + 9² = c²
simplify
81 + 81 = c²
simplify
162 = c²
√ both sides
c = √(162)
c = √(82 × 2)
c = 9√(2)
I hope this helps. Happy studying.