Incenter of a Triangle

The incenter of the triangle formed by the axes and the line (x)/(a)+(y)/(b)=1

What is pedal triangle In acute angle triangle (orthocenter of ABC is Incenter of Pedal Triangle.)?

If a vertex of a triangle is (1,1), and the middle points of two sides passing through it are -2,3) and (5,2), then find the centroid and the incenter of the triangle.

Using vector method, find the incenter of the triangle whose vertices are A(0,3,0) B ( 0,0,4) and C (0,3,4)

Prove that the distance between the circumcenter and the incenter of triangle ABC is sqrt(R^(2)-2Rr)

For triangle ABC,R=(5)/(2) and r=1. Let I be the incenter of the triangle and D,E and F be the feet of the perpendiculars from I rarr BC,CA and AB, respectively. The value of (IDxIExIF)/(IAxIBxIC) is equal to (a) (5)/(2) (b) (5)/(4)(c)10(d)(1)/(5)

On the Argand plane z_(1),z_(2) and z_(3) are respectively,the vertices of an isosceles triangle ABC with AC=BC and equal angles are theta. If z_(4) is the incenter of the triangle,then prove that (z_(2)-z_(1))(z_(3)-z_(1))=(1+sec theta)(z_(4)-z_(1))^(2)

The incenter of the triangle with vertices (1,sqrt(3)),(0,0), and (2,0) is (a) (1,(sqrt(3))/(2)) (b) ((2)/(3),(1)/(sqrt(3)))(c)((2)/(3),(sqrt(3))/(2)) (d) (1,(1)/(sqrt(3)))

Explain the following terms: Triangle (ii) parts or elements of a triangle Scalene triangle (iv) isosceles triangle Equilateral triangle (vi) acute triangle Right triangle (viii) obtuse triangle Interior of a triangle (x) exterior of a triangle.