Given that `Delta ABC ~ Delta PQR`, CM and RN are respectively the medians of `Delta ABC and Delta PQR`. Prove that
(i) `Delta AMC ~ Delta PNR`
(ii) `(CM)/(RN) = (AB)/(PQ)`
(iii) ` Delta CMB ~ Delta RNQ`

In figure if PQ ||RS, Prove that Delta POQ ~ Delta SOR .

In any Delta ABC, prove that the area Delta = (b^(2) + c^(2) - a^(2))/(4 cot A )

BL and CM are medians of a triangle ABC right angled at A. Prove that 4(BL^(2)+ CM^(2))=5BC^(2)

Delta ABC ~ Delta DEF and their areas are respectively 64 cm^(2) and 121 cm^(2) . If EF = 15.4 cm., then find BC.

In Delta ABC , if lengths of medians BE and CF are 12 and 9 respectively, find the maximum value of Delta

Given that Delta ABC is similar Delta PQR . Their perimeters are in the ratio 5 : 6. Is PQ = 12 cm find AB.

In figure OPRQ is a square and angle MLN =90^(@) . Prove that (i) Delta LOP ~ Delta QMO (ii) Delta LOP ~ Delta RPN (iii) DeltaQMO ~ Delta RPN (iv) QR^(2)=MQ xx RN .

In Delta ABC, angle BAC = 90^(@), seg BL and seg CM are medians of Delta ABC prove that 4(BL^(2) + CM^(2)) = 5 BC^(2)

In triangle ABC, if a = 2 and bc = 9, then prove that R = 9//2Delta

In Delta ABC , I is the incentre, Area of DeltaIBC, DeltaIAC and DeltaIAB are, respectively, Delta_(1), Delta_(2) and Delta_(3) . If the values of Delta_(1), Delta_(2) and Delta_(3) are in A.P., then the altitudes of the DeltaABC are in