Krishna
0

Step 1: Look at the given figure and note down the given measurements

            NOTE: AA' = 6,  A'B = 4, CC' = 3, and C'B = 2


Step 2: Calculate the ratios of the lengths of the corresponding sides. 

             \frac{BA}{BA'} = \frac{AA' + A'B}{A'B} = \frac{10}{4}

            \frac{BC}{BC'}=\frac{CC'+BC'}{C'B}=\frac{5}{2}


Step 3: Conclude that the given triangle are similar if the two triangles have two sides whose lengths are proportional and a congruent angle included between the two sides.

           \frac{BA}{BA'} = \frac{10}{4} = \frac{5}{2}

          \frac{BC}{BC'}=\frac{5}{2}

      So, The two triangles are similar.