Question

Perimeter of a triangle is 27 cm and its sides are in the ratio 2:3:4. Find the length of longest side.​

Answer 1

To find : longest side of triangle

Given : sides of a triangle are in ratio $2 : 3: 4$

            Perimeter of triangle = $27 cm$

Solution:

• We know that, perimeter of triangle is sum of three side of triangle.

        If a , b, c are the sides of triangle then,

• Perimeter of triangle $=a+b+c$  

• Therefore, perimeter of triangle = $2x + 3x + 4x$

                                                          $27 = 9x \\x = 3$

• Hence, sides of triangle are , $2x = 2 \times 3= 6$

                                                         $3x = 3\times 3 = 9$

                                                        $4x = 4\times 3 = 12$  

Hence, longest side of triangle is $12\ cm$