if the altitude of a triangle are eqal prove that it is a equilatrol triangle
Answers
Step-by-step explanation:
The Viviani's Theorem states that for an equilateral triangle, the sum of the altitudes from any point in the triangle is equal to the altitude from a vertex of the triangle to the other side.
An altitude of a triangle is a line segment through a vertex and perpendicular to (i.e., forming a right angle with) a line containing the base (the side opposite the vertex). This line containing the opposite side is called the extended base of the altitude.
Pythagorean theory the square of the hypotenuse minus the square of the base equals the square of the other side (altitude).
Consider a such that are the altitudes drawn from the vertices to the opposite sides respectively which are equal in length i.e. Above result shows that all three sides of are equal hence it is an equilateral triangle
