In a triangle

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

In a triangle, the sum of two sides is

x

and the product of the same two sides is

y

. If

x^2-c^2=y

, where

c

is the third side of the triangle, then the ratio of the inradius to the circumradius of the triangle is (1)

\frac{3y}{2x(x+c)}

(2)

\frac{3y}{2c(x+c)}

(3)

\frac{3y}{4x(x+c)}

(4)

\frac{3y}{4c(x+c)}