Question

solve for x. round to the nearest tenth if necessary.
right triangle with legs 3, hypotenuse x
options:
○ x = 9
○ x = 18
○ x = 5.3
○ x = 4.2
○ x = 3.3

Explanation:

Step1: Identify the triangle type

The triangle is a right - isosceles triangle with legs \(a = 3\) and \(b=3\), and hypotenuse \(x\). We use the Pythagorean theorem \(c=\sqrt{a^{2}+b^{2}}\) (where \(c\) is the hypotenuse and \(a,b\) are the legs of the right triangle).

Step2: Apply the Pythagorean theorem

Substitute \(a = 3\) and \(b = 3\) into the formula:

$$
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$$

Answer:

\(x = 4.2\) (the option with \(x = 4.2\))