Question

The sides of a triangle are in the ratio of 1:2:3.The longest side of the triangle measures 12 cm. What are the lengths of the other sides?​

Answer 1

Answer:

The measure of three sides of a triangle are $4$ cm, $8$ cm, $12$ cm.

Step-by-step explanation:

Given : Sides of a triangle are in the ratio = $1:2:3$

               Longest side of a triangle = $12$ cm

To find : Lengths of other two sides of a triangle = ?

Solution :

• It is given that the sides of a triangle are in the ratio = $1:2:3$

      Longest side of a triangle = $12$ cm

• Let, the three sides of a triangle be $x,2x$ and $3x$.
• We have to find the other two sides of a triangle.
• The longest side of a triangle is $3x$ and whose measure $12$ cm is given.
• ∴  The equation becomes,

         $3x=12$

       ∴ $x=\frac{12}{3}$

       ∴ $x=4$ cm

• Now, the length of other side is $2x$.

        ∴ $2x=2*4=8$ cm

        and $3x=12$ cm

• ∴ The measure of three sides of a triangle are $4$ cm, $8$ cm, $12$ cm.