Question

type the correct answer in the box. round your answer to two decimal places. in this right triangle, the length of the hypotenuse, bc, is units

Explanation:

Step1: Identify the given sides

The two legs of the right - triangle are \(AB = 3\) units and \(AC=2\) units.

Step2: Apply the Pythagorean theorem

The Pythagorean theorem for a right - triangle is \(BC^{2}=AB^{2}+AC^{2}\). Substituting \(AB = 3\) and \(AC = 2\), we get \(BC^{2}=3^{2}+2^{2}=9 + 4=13\).

Step3: Solve for \(BC\)

Taking the square root of both sides, \(BC=\sqrt{13}\approx3.61\) (rounded to two decimal places).

Answer:

3.61