Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth.
$c = \square$ meters

Explanation:

Step1: Identify the triangle type

This is a right - angled isosceles triangle with legs \(a = 3\) m and \(b = 3\) m. We use the Pythagorean theorem \(c^{2}=a^{2}+b^{2}\).

Step2: Substitute values into the formula

Substitute \(a = 3\) and \(b = 3\) into the formula: \(c^{2}=3^{2}+3^{2}\). Calculate \(3^{2}=9\), so \(c^{2}=9 + 9=18\).

Step3: Solve for \(c\)

Take the square root of both sides: \(c=\sqrt{18}\). Simplify \(\sqrt{18}=\sqrt{9\times2}=3\sqrt{2}\approx4.2\) (rounded to the nearest tenth).

Answer:

\(4.2\)