Question

x 88\sqrt{2} 45^{\circ}

Explanation:

Step1: Identify the triangle type

This is a 45 - 45 - 90 right triangle. In a 45 - 45 - 90 triangle, the ratio of the sides is \(1:1:\sqrt{2}\), where the hypotenuse \(c\) is related to the legs \(a\) (or \(b\)) by the formula \(c = a\sqrt{2}\) (if \(a = b\)).

Step2: Solve for \(x\)

Given the hypotenuse \(c=88\sqrt{2}\), and using the formula \(c = x\sqrt{2}\) (since \(x\) is a leg of the 45 - 45 - 90 triangle).

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Answer:

\(88\)