In a `Delta ABC` if `a:b:c = 5:6:7` then `R/r` can be expresses in rational numbers as `p/q`, then find minimum value of `(p+q)`

In a triangle ABC, if a:b:C=3:7:8, then R:r is equal to

If p,q,r be three distinct real numbers, then the value of (p+q)(q+r)(r+p), is

Let triangle ABC have altitude h_a, h_b, h_c from points A, B, C respectively. If h_a = 8, h_b = 8, h_c= 10, then the length of side AB can be expressed as p/sqrtq(where p, q are natural numbers). Find the minimumvalue of (p+q).

An equilateral triangle ABC is inscribed in the parabola y = x^2 and one of the side of the equilateral triangle has the gradient 2. If the sum of x-coordinates of the vertices of the triangle is a rational in the form p/q where p and q are coprime, then find the value of (p + q)/7.

The value of (tan^(2)18^(@))(tan^(2)54^(@)) can be expressed as a rational number (p)/(q) in lowest form where p,q in N. Find the value of (p+q).

Given a triangle ABC with sides a=7,b=8 and c=5. If the value of the expression (sum sin A)(sum(cot A)/(2)) can be expressed in the form (p)/(q) where p,q in N and (p)/(q) is in its lowest form find the value of (p+q)

In a triangle ABC, a, b and c are the lengths of the sides and p, q and r are the lengths of its medians. Which one of the following is correct ?

If 2p+3q+4r=15, the maximum value of p^(3)q^(5)r^(7) will be