Suppose `x` and `y` are any two natural numbers. If `x^2-y^2, 2xy` and `x^2+y^2` are three sides of a triangle then show that it is a right angled triangle

2x^(2)-5xy+2y^(2)=0 represents two sides of a triangle whose centroid is (2, 3) then area of triangle is

If the lines x+y=0, x-y=0 and 2x+3y-6=0 are the sides of a triangle and (-2, a) is an interior point of the triangle then a lies

If the lines x+y=0,x-y=0 and 2x+3y=6=0 are the sides of a triangle and (-2,a) is an interior point of the triangle then a lies

The length of the sides of a triangle are ax-by , ay+bx and sqrt((a^2+b^2)(x^2+y^2)) . Show that it is a right angled triangle.

Let x,y an z be positive real numbers. Suppose x, y and z are the length of the sides of triangle opposite ot its angles, X,Y and Z respectively.If "tan" (X)/(2)+"tan"(Z)/(2)=(2y)/(x+y+x) then which of the following statement is/are TURE ?

If x^(2)-3xy+2y^(2)=0 represents two sides of triangle and orthocentre is (2,1) then equation of third side is

If the sides of a triangle are in the ratio x:y:sqrt(x^2+xy+y^2) , then the greatest angle is

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