| 1. |
Pinku was a hard working student who used to learn without understanding. He was asked to construct a triangle say ABC and was given the base length of the triangle BC, one of the base angles say ∠ B and the sum of the other two sides (AB + AC). He went about constructing the triangle in the following way: He drew the base BC with the given dimension, drew the ∠ B along the ray BX with the angle known to him already. He then took B as centre and (AB + AC) as radius and cuts an arc on the ray BX intersecting the ray at D. He then joins D to C. He then draws a perpendicular bisector of the line DC and the perpendicular bisector intersecting on the ray intersects the ray at point A. The teacher then asked him as to why he did what he did, she started from the back and asked him as to how the intersection of the ray and the perpendicular bisector gives A. Which of the following is the reason for him drawing the perpendicular bisector and intersecting it with the ray? |
|
Answer» Pinku was a hard working student who used to learn without understanding. He was asked to construct a triangle say ABC and was given the base length of the triangle BC, one of the base angles say ∠ B and the sum of the other two sides (AB + AC). He went about constructing the triangle in the following way: He drew the base BC with the given dimension, drew the ∠ B along the ray BX with the angle known to him already. He then took B as centre and (AB + AC) as radius and cuts an arc on the ray BX intersecting the ray at D. He then joins D to C. He then draws a perpendicular bisector of the line DC and the perpendicular bisector intersecting on the ray intersects the ray at point A. The teacher then asked him as to why he did what he did, she started from the back and asked him as to how the intersection of the ray and the perpendicular bisector gives A. Which of the following is the reason for him drawing the perpendicular bisector and intersecting it with the ray?
|
|