Shyam wishes to determine the distance between two objects A and B but there is an obstacle between the two objects which prevents him from making a direct measurement. He design an ingenious way to overcome this difficulties. First, he fixes a pole at a convenient point o So that from O,both ends are visible. Then he fixes another pole at a point D on line A O such that AO= DO.In a similar way, he fixes a thirdpole at pt. C of line BO such that BO=CO.Then he measures CD and find that CD=170cm .prove that distance between objects A and B us also 170m

Question

Shyam wishes to determine the distance between two objects A and B but there is an obstacle between the two objects which prevents him from making a direct measurement. He design an ingenious way to overcome this difficulties.  First,  he fixes a pole at a convenient point o So that from O,both ends are visible. Then he fixes another pole at a point D on line A O such that AO= DO.In a similar way, he fixes a thirdpole at pt. C of line BO  such that BO=CO.Then he measures CD and find that CD=170cm .prove that distance between objects A and B us also 170m

Steve · Answer

Since vertex O is common to both triangles OCD and OAB, you have SAS to show that the two triangles are congruent, making CD and AB congruent.