Answer: 11.7 cm
Explanation:
We are given a right triangle with the hypotenuse of x cm and the legs with lengths of 11 cm and 4 cm. We will use the Pythagorean theorem to help us solve.
The Pythagorean theorem:
a² + b² = c²
Substituting known values:
11² + 4² = c²
Square:
121 + 16 = c²
Add:
137 = c²
Square root:
c = 11.7 cm