The lengths of the tangents drawn from the vertices `A, B, C` to the incircle of `DeltaABC` are `5, 3, 2` respectively. If the lengths of the parts of tangents within the triangle which are drawn parallel tothe sides `BC, CA, AB` of the triangle to the incirclebe `alpha, beta, gamma` respectively then `10/31(alpha + beta + gamma)` equals

The lengths of the tangents drawn from the vertices A, B and C to the incicle of DeltaABC are 5, 3 and 2, respectively. If the lengths of the parts of tangents within the triangle which are drawn parallel to the sides BC, CA and AB of the triangle to the incircle are alpha, beta and gamm , respectively, then the value of [alpha + beta + gamma] (where [.] respresents the greatest integer functin) is _____

Tangents are parallel to 3-sides are drawn to the incirlee. If x, y, z are lengths of the parts of the tangents with in the triangle then x/a + y/b + z/c =

If alpha , beta, gamma are the lengths of the tangents from the vertices of a triangle to its incircle. Then

In a Delta ABC, D,E and F respectively are the points of contact of the incircle with the sides AB, BC and CA such that AD =alpha, BE= beta and CF =gamma," then "(alpha beta gamma)/(alpha +beta +gamma)=

The ratios of the length of the sides BC and AC of Delta ABC to the radius of circumscribea cirere are equal to 2 and respectively.If the ratio of the lengths of the bisectors of the interior angles B and C is (alpha(sqrt(alpha)-1))/(beta sqrt(gamma)) where alpha,beta,gamma in N, then find the value of (alpha+beta+gamma).

ABC is a fixed right angled isosceles triangle right angled at B.Pis a variable point inside the triangle whose distances from the sides AB,BC and CA are alpha,beta-gamma respectively.If alpha^(2)+beta^(2)+alpha beta=gamma^(2), then the locus of P=

If the centroid of a triangle with vertices (alpha, 1, 3), (-2, beta, -5) and (4, 7, gamma) is the origin then alpha beta gamma is equal to …..........