Question

45° 33√5 x

Explanation:

Step1: Identify the triangle type

This is a right - angled isosceles triangle (since one angle is \(90^{\circ}\) and another is \(45^{\circ}\), the third angle is also \(45^{\circ}\)). In a right - angled isosceles triangle, the legs are equal. Let the legs be \(a = 33\sqrt{5}\) and \(b = 33\sqrt{5}\), and the hypotenuse be \(x\).

Step2: Apply Pythagorean theorem

By the Pythagorean theorem \(a^{2}+b^{2}=x^{2}\). Substitute \(a = 33\sqrt{5}\) and \(b = 33\sqrt{5}\) into the formula:

$$
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$$

Answer:

\(x = 33\sqrt{10}\)