In fig., ABC is a triangle in which `angleABC < 90@0, and AD 'bot` BC produced, prove that `AC^2 = AB^2 + BC^2 - 2BC.BD` .
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In fig., ABC is triangle in which angleABC > 90@0 and AD bot BC produced, prove that AC^2 = AB^2 + BC^2 + 2BC.BD . .

In the fig. ABC is a triangle in which AB=AC side BA is produced to D such that AB=AD prove that angle=BCD=90^@

In given Fig. , ABC is a triangle with base BC. If the base angles of DeltaABC are 75^@ and 55^@ , state which of two is 75^@ ? If AM bisects the exterior angle angleBAX and AP II CB find angleMAP .

In fig. , PQR is a triangle in which T is a point on QR and if S is a point such that RT = ST : then PQ + PR ...... QS

In fig. , PQR is a triangle in which T is a point on QR and if S is a point such that RT = ST : then PQ + PR ...... QS

In the fig. ABC, is an isosceles triangle in which AB=AC. Also D,E and F are mid point of BC, CB and AB respectively. Show that ADbotEF and AD is determined by EF

In the fig. ABCD is a quadrilateral in which AB||DC and AD||BC prove that angleADC=angleABC

ABC is a triangle in which altitudes BE and CF are equal that: triangleABEequivtriangleACF

In DeltaABC , AD is the perpendicular bisector of BC (See Fig. ). Show that DeltaABC is an isosceles triangle in which AB = AC.

In DeltaABC , AD is the perpendicular bisector of BC (See Fig. ). Show that DeltaABC is an isosceles triangle in which AB = AC.