Name the triangle in which two altitudes of the triangle are two of its sides.

Will an altitude always lie in the interior of a triangle?

Will an altitude always lie in the interior of a triangle?

Two sides of a triangle is given. If the area of a triangle is maximum, then show that the angle between the two sides is (pi)/(2) .

If In two triangles, the sides of one triangle are proportional to the corresponding sides of the other triangle, then their corresponding angles are equal and hence the traingles are similar.

ABC is an isosceles triangle in which altitudes BD and CE are drawn to equal sides AC and AB respectively (see figure) Show that these altitudes are equal.

If Delta_(1) is the area of the triangle formed by the centroid and two vertices of a triangle, Delta_(2) is the area of the triangle formed by the midpoints of the sides of the given triangle then Delta_(1):Delta_(2)=