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 in-radius to the circum-radius of the triangle is

In a triangle the sum of two sides is x and the product of the same is y. If x^2 - c^2 = y where c is the third side. Determine the ration of the in-radius and circum-radius

If the sides of the triangle are the roots of the equation x^(3)-2x^(2)-x-16 =0, then the product of the in-radius and circum-radius of the triangle ,is

In an equilateral triangle the ratio of circum-radius and in-radius is

Find the Side of pedal triangle and Circum-Radius of pedal Triangle ?

If the lengths of the side of a triangle are 3,4 and 5 units, then find the circum radius R.

If the lengths of the sides of a triangle are 8, 15 and 17 units, the R the circum-radius is :

In an equliateral triangle of side 2sqrt3 cm. The find circum-radius.

If two sides of a triangle are roots of the equation x^(2) -7x + 8 = 0 and the angle between these sides is 60^(@) then the product of inradius and circumradius of the triangle is

A triangle has two sides y=m_1x and y=m_2x where m_1 and m_2 are the roots of the equation b alpha^2+2h alpha +a=0 . If (a,b) be the orthocenter of the triangle, then find the equation of the third side in terms of a , b and h .

A triangle has two of its sides along the lines y=m_1x&y=m_2x where m_1, m_2 are the roots of the equation 3x^2+10 x+1=0 and H(6,2) be the orthocentre of the triangle. If the equation of the third side of the triangle is a x+b y+1=0 , then a=3 (b) b=1 (c) a=4 (d) b=-2