[" EXAMPLE "25quad In a Delta ABC" ,the angles at Band Careacute.If BE and CF be drawn perpendicula "],[" ACand AB respectively,prove that "]

In a triangle A B C , the angles at B and C are acute. If BE and CF be drawn perpendiculars on AC and AB respectively, prove that B C^2=A B*B F+A C*C Edot

ABC is a triangle in which BE and CF are perpendiculars to AC and AB respectively. If BE=CF, prove that triangleABC is isosceles.

ABC is a triangle in which altitude BE and CF drawn on AC and AB respectively are equal. Prove that DeltaBEC~=DeltaCFB

ABC is an acute-angled triangle .AP is the diameter of the circumcircle of the triangle ABC, EB and CF are perpendiculars on AC and AB respectiely and they intersect each other at the point other at the point Q. Prove that BPCQ is a parallelogram.

Delta ABC is an acute angle triangle inscribed in a circle in a circle .AD is a diameter of the circle . Two perpendiculars BE and CF are drawn from B and C to AC and AB respectively , which intersect each other at the point G . Prove that BDCG is a parallelogram.

In a Delta ABC, angle A : angle B: angleC = 2 : 3 : 4 A line CD drawn parallel to AB, then angleACD is

ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively. Show that these altitudes are equal.

ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively. Show that these altitudes are equal.

ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively (see Fig. 7.31). Show that these altitudes are equal.

ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively (see Fig. 7.31). Show that these altitudes are equal.