[" 5.In the given figure,"BE" and "CF" are two "],[" equal altitudes of "/_ABC" ."],[" Show that (i) "/_ABE~=/_ACF" ,"],[" (ii) "AB=AC" ."]

In the given figure, BE and CF are two equal altitudes of DeltaABC . Show that (i) DeltaABE~=DeltaACF , (ii)AB = AC.

In the given figure,AB and AC are two equal chords of a circle with centre O.Show that o lies on the bisectors of /_BAC.

In the Given figure, E is any point on median AD of a triangle ABC Show that ar (ABE) = ar (ACE)

In the given figure,AB||CD and BE||AC( a) Find /_ABC. (b) Find /_EBA and hence show that EB perp BC

In the given figure,AB||CD and BE||AC( a) Find ABC. (b) Find EBA and hence show that EB perp BC

In Figure,X and Y are two points on equal sides AB and AC of a o+ABC such that AX=AY. Prove that XC=YB

ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (see Fig. 7.32). Show that (i) DeltaA B E~=DeltaA C F (ii) A B\ =\ A C , i.e., ABC is an isosceles triangle.

ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (see Fig. 7.32). Show that (i) DeltaA B E~=DeltaA C F (ii) A B\ =\ A C , i.e., ABC is an isosceles triangle.

In the given figure, ABC and ABD are two triangles on the same base AB . If line - segment CD is bisected by AB at O, show that ar (ABC) = ar (ABD)

In the adjoining figure, P and Q are two points on equal sides AB and AC of a isosceles triangle ABC such that AP = AQ, then