Sarosh and his brothers inherited a square piece of land from their ancestors. However, his share of the land was only an equilateral triangular piece, with one vertex as that of the square land and side equal to half of the square. Also, one side of Sarosh'��s land coincided with one side of the square land.
Sarosh wanted to fix a perimeter on his area and he had an anchor and a rope of length equal to half of that of the side of the square, to mark his territory. He fixes the anchor at one vertex, A.
Sarosh was given a set of cards instructing how to mark his territory. Sarosh being inquisitive, wanted to know
the reasons behind the instructions in the cards. Select the correct option for the matching of coloumn A and B from the given options
NOTE: While walking, Sarosh leaves footprints so that his path can be tracked.
A rope is said to be taut when it can not be stretched further, i.e it reaches its maximum length.
[Column A] Instructions on card
Walk along any side of the square till the rope becomes taut. Mark this point, say Q. When the rope becomes taut, with the anchor still at A, walk inside the field till you reach side AD (towards the sides AD and DC). Now put the anchor at Q and walk along side AB till the rope is taut. Now when the rope is taut, walk towards sides DC and CB (inside the field) till he meets his previous footprints (with anchor at A), at P. Join the points of intersection of his foot tracks to get the territory.
[Column B] Reason
Triangle is formed We need to get the length of the side of our triangle. This is similar to setting the compass length as the side of the triangle. Similar to drawing an arc, to find the point equidistant from the second vertex of the triangle. This is so that we need to find out what all points are at a distance equal to that of the side of the triangle.
Sarosh and his brothers inherited a square piece of land from their ancestors. However, his share of the land was only an equilateral triangular piece, with one vertex as that of the square land and side equal to half of the square. Also, one side of Sarosh'��s land coincided with one side of the square land.
Sarosh wanted to fix a perimeter on his area and he had an anchor and a rope of length equal to half of that of the side of the square, to mark his territory. He fixes the anchor at one vertex, A.
Sarosh was given a set of cards instructing how to mark his territory. Sarosh being inquisitive, wanted to know
the reasons behind the instructions in the cards. Select the correct option for the matching of coloumn A and B from the given options
NOTE: While walking, Sarosh leaves footprints so that his path can be tracked.
A rope is said to be taut when it can not be stretched further, i.e it reaches its maximum length.
[Column A] Instructions on card
Walk along any side of the square till the rope becomes taut. Mark this point, say Q. When the rope becomes taut, with the anchor still at A, walk inside the field till you reach side AD (towards the sides AD and DC). Now put the anchor at Q and walk along side AB till the rope is taut. Now when the rope is taut, walk towards sides DC and CB (inside the field) till he meets his previous footprints (with anchor at A), at P. Join the points of intersection of his foot tracks to get the territory.
[Column B] Reason
Triangle is formed We need to get the length of the side of our triangle. This is similar to setting the compass length as the side of the triangle. Similar to drawing an arc, to find the point equidistant from the second vertex of the triangle. This is so that we need to find out what all points are at a distance equal to that of the side of the triangle.
The correct option is A 1 – B, 2 – D , 3 – C , 4 - A
Walk along any side of the square till the rope becomes taut.
This is along the lines of setting up the radius for the compass. Here, we adjust this length to that of the side of the triangular area.
Mark this point, say Q. When the rope becomes taut, with the anchor still at A, walk inside the field till you reach side AD (towards the sides AD and DC).
This means, “With A as centre and radius equal that of the side of the triangle, draw an arc.”
Now put the anchor at Q and walk along side AB till the rope is taut. Now when the rope is taut, walk towards sides DC and CB (inside the field) till he meets his previous footprints (with anchor at A), at P.
This means, “With Q as centre and the same radius, cut the previously drawn arc in P ”
Join the points of intersection of his foot tracks to get the territory.
This means, “The triangle is formed.”
1 – B, 2 – D , 3 – C , 4 - A
Walk along any side of the square till the rope becomes taut.
This is along the lines of setting up the radius for the compass. Here, we adjust this length to that of the side of the triangular area.
Mark this point, say Q. When the rope becomes taut, with the anchor still at A, walk inside the field till you reach side AD (towards the sides AD and DC).
This means, “With A as centre and radius equal that of the side of the triangle, draw an arc.”
Now put the anchor at Q and walk along side AB till the rope is taut. Now when the rope is taut, walk towards sides DC and CB (inside the field) till he meets his previous footprints (with anchor at A), at P.
This means, “With Q as centre and the same radius, cut the previously drawn arc in P ”
Join the points of intersection of his foot tracks to get the territory.
This means, “The triangle is formed.”
