If for the triangle whose perimeter is and the length of sides are in G.P. also the length of the smallest side is then the length of remaining two sides are and
Explanation for the correct answer:
Step 1: Apply Geometric Progression (G.P.) concept
Let, be the sides of the triangle in G.P.
Perimeter
As we know, the perimeter of the triangle is equal to the sum of all the sides of the triangle,
Step 2: Finding the value of
By factorization method of quadratic equation, we have to find where is equal to ‘b’ and is equal to ‘c’.
Since, the sides of a triangle cannot be negative,
Step 3: Substituting the value of in to find the sides of the triangle,
Hence, the correct answer is option (A).