Final answer:
To find the hypotenuse x of a 45°-45°-90° right triangle with legs of 1.2 units, use the Pythagorean theorem, resulting in x being approximately 1.697 units long.
Step-by-step explanation:
To find x, the length of the hypotenuse in a 45°-45°-90° right triangle, with both legs being equal, we can use the Pythagorean theorem.
In such a triangle, if each leg length is 1.2, the Pythagorean theorem states that the hypotenuse (x) squared is the sum of the squares of the leg lengths:
x² = 1.2² + 1.2²
x² = 1.44 + 1.44
x² = 2.88
x = √2.88
x ≈ 1.697
So the hypotenuse x is approximately 1.697 units long.