The triangle `DEF` which is formed by joining the feet of the altof triangle `ABC` is called the Pedal Triangle. Angle of triangle `DEF` are

If triangle ABC cong triangle DEF then

A triangle DEF is formed by joining mid points of sides of triangle ABC. Again mid points of sides of triangle DEF are joined together to form a new triangle PQR. If sides of triangle ABC are respectively 4, 5 and 6 cm then what is the distance between centroid of DeltaPQR and DeltaDEF .

Consider a triangle ABC, and that AA', BB', CC' be the perpendicular form A, B and C upon the sides opposite to them. These three perpendicualrs meets in H, called the orthocenter of the triangle.The triangle A'B'C' formed by the feet of the perpendicular is called the pedal triangle of ABC. (Assume angleA, B, C ne 90^(@) ) Suppose the triangle ABC have angles 60^(@), 70^(@) and 50^(@) . Then the pedal triangle A'B'C' have angles given by

Three straight lines are drawn through the three vertices of a triangle ABC, the line through each vertex being parallel to the opposite side. The triangle DEF is bounded by these parallel lines. Consider the following statements in respect of the triangle DEF : 1. Each side of triangle DEF is double the side of triangle ABC to which it is parallel. 2. Area of triangle DEF is four times the area of triangle ABC. Which of the above statements is/are correct?

DEF is the triangle formed by joining the points of contact of the incircle with the sides of the triangle ABC : prove that its angles are (pi)/(2) - (A)/(2), (pi)/(2) - (B)/(2)" and " (pi)/(2) - (C )/(2) .

Equilateral triangle ABC with a side-length of 2 is inscribed in 30^@–60^@-90^@ triangle DEF such that each of its vertices is on a different side of triangle DEF and none of them is coincident with a vertex of triangle DEF. If one side of the equilateral triangle is parallel to the shortest side of triangle DEF, then the area of triangle DEF is

If triangle ABC ~ triangle DEF , angle = 50 infty then find angle E + angle F

DEF is the triangle formed by joining the points of contact of the incircle with the sides of the triangle ABC : prove that its area is (2triangle^2)/(abcs), i.e. (1)/(2) (r )/(R )triangle .

If triangle ABC cong triangle DEF then angle BCA = _______

triangle ABC =triangle DEF,|__A = ________