In quadrilateral ACBD, AC = AD and AB bisects /_A Show that DeltaABC~= DeltaABD . What can you say about BC and BD?
In Fig. If Delta ABE = ACD , show that Delta ADE ~ Delta ABC .
In the given figure, AB||DC and AD||BC show that DeltaABC ~= Delta CDA .
ABC is a triangle in which altitude BE and CF to sides AC and AB are equal. Show that Delta ABE ~= Delta ACF (ii) AB = AC, i.e., ABC is an isosceles triangle.
ABC is a triangle in which altitudes BD and CE to sides AC and AB are equal (see figure) . Show that (i) DeltaABD ~= DeltaACE (ii) AB = AC i.e., ABC is an isosceles triangle.
Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of Delta PQR. Show that Delta ABM ~= Delta PQN (ii) Delta ABC ~= Delta PQR
In Delta ABC , AD is the perpendicular bisector of BC. Show that Delta ABC is an isoscelss tringle in which AB = AC.
In Fig. ABD is a triangle right angled at A and AC bot BD show that (i) AB^(2) =BC . BD , (ii) AC^(2) = BC . DC , (iii) AD^(2) = BD . CD
In Fig. D is point on hypotenuse AC of Delta ABC , BD bot AC DM bot BC and DN bot AB . Prove that : (i) DM^(2) = DN . MC , (ii) DN^(2) = DM . AN
