In the adjoining figure, ABCD is a parallelogram. E is mid-point of BC. DE meets the diagonal AC at O and meets AB (produced) at F. Prove that
(i) DO : OE = 2 : 1
(ii) area of ∆OEC : area of ∆OAD = 1 : 4.
Solution:
A model of a ship is made to a scale of 1 : 250. Calculate :
(i) the length of the ship, if the length of the model is 1.6 m.
(ii) the area of the deck of the ship, if the area of the deck of the model is 2.4 m².
(iii) the volume of the model, if the volume of the ship is 1 km³.
Solution:
More Solutions:
- CM and RN are respectively the medians of ∆ABC and ∆PQR.
- Medians AD and BE of ∆ABC meet at the point G.
- In the figure given below, AB, EF and CD are parallel lines.
- ∠A = 90° and AD ⊥ BC If BD = 2 cm and CD = 8 cm.
- A 15-meter high tower casts a shadow of 24 meters.
- In the figure, DE parallel BG, AD = 3 cm, BD = 4 cm and BC = 5 cm.