Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth.
c = \boxed{} millimeters
(there is a right triangle with legs 0.6 mm and 2.2 mm, and hypotenuse c)

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, \(a^2 + b^2 = c^2\), where \(a = 0.6\) mm, \(b = 2.2\) mm.

Step2: Substitute values into formula

\(c^2 = 0.6^2 + 2.2^2 = 0.36 + 4.84 = 5.2\)

Step3: Solve for \(c\)

\(c=\sqrt{5.2}\approx2.3\) (rounded to nearest tenth)

Answer:

\(2.3\)