If a triangle is inscribed in a n ellipse and two of its sides are parallel to the given straight lines, then prove that the third side touches the fixed ellipse.

If a triangle is inscribed in an ellipse and two of its sides are parallel to the given straight lines, then prove that the third side touches the fixed ellipse.

If a triangle is inscribed in an ellipse and two of its sides are parallel to the given straight lines, then prove that the third side touches the fixed ellipse.

A triangle is inscribed in the hyperbola xy=c^2 and two of its sides are parallel to y=m_1 x and y = m_2 x . Prove that the third side touches the hyperbola 4m_1 m_2 xy = c^2 (m_1 + m_2)^2 .

An equilateral triangle is inscribed in an ellipse whose equation is x^2+4y^2=4 If one vertex of the triangle is (0,1) then the length of each side is

An equilateral triangle is inscribed in an ellipse whose equation is x^2+4y^2=4 If one vertex of the triangle is (0,1) then the length of each side is

The line drawn from the midpoint of one side of a triangle parallel to another side bisects the third side.

Theorem 6.2 : If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.

Theorem 6.2 : If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.

An equilateral triangle is inscribed in an ellipse whose equation is x^(2)+4y^(2)=4 If one vertex of the triangle is (0,1) then the length of each side is