4. In the figure below, ABC is a right triangle. The length ofAB is 6 units and the length of CB is 3 units. What is the length, inunits, of AC?

Answer:Length of the side AC = [tex]3  \sqrt{3}[/tex] unitsStep-by-step explanation:The given triangle ABC is a right triangle.Here,   AB =   6 units ( hypotenuse)CB = 3 units (base)Now, as the triangle is a right triangle, so byPYTHAGORAS THEOREMIn a right triangle,[tex](Base)^{2}  + (Perpendicular)^{2}  = (Hypotenuse)^{2}[/tex]So, here in ΔABC: [tex](BC)^{2}  + (AC)^{2}  = (AB)^{2}[/tex]or, [tex](3)^{2}  + (AC)^{2}  = (6)^{2}[/tex]⇒[tex]AC = \sqrt{36 - 9}  =  \sqrt{27} = 3  \sqrt{3}[/tex]or, the length of the side AC = [tex]3  \sqrt{3}[/tex] units