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If ABC is an isosceles triangle with AB=AC. BD and CE are two medians of the triangle. Prove that BD=CE.
In the given figure, PQ=QR, ∠QPR = 48°, ∠SRP = 18°, then find the ∠QRS & ∠PQR.
BE and CF are two equal altitudes of a triangle ABC. Using RHS congruence rule, prove that the triangle ABC is isosceles.
In triangles ABC and PQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. The two triangles are
Line-segment AB is parallel to another line-segment CD. O is the mid-point of AD (see Fig. 7.15). Show that (i) △AOB ≅ △DOC (ii) O is also the mid-point of BC.
AD and BC are equal perpendiculars to a line segment AB (see Fig. 7.18). Show that CD bisects AB.
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