Two friends Seema and Aditya work in the same office at Delhi. In the Christmas vacations, both decided to go to their hometowns represented by Town A and Town B respectively in the figure given below. Town A and Town B are connected by trains from the same station C (in the given figure)in Delhi.Based on the given situation, answer the following questions:
*figure
(i) Who will travel more distance, Seema or Aditya, to reach to their hometown?
(ii) Seema and Aditya planned to meet at a location D situated at a point D represented by the mid-point of the line joining the points represented by Town A and Town B. Find the coordinates of the point represented by the point D
(iii) Find the area of the triangle formed by joining the points represented by A, B and C.
Answers
on Christmas vacations, Aditya Travels more Distance than Seema . Mid point is (5/2 , 9/2) & Area = 17 sq units
Step-by-step explanation:
C = (-4 , 4)
Seema goes to Town A (1 , 7)
Distance Seema Travels = √{(1 - (-4))² + (7 - 4)²}
= √(25 + 9)
= √34
Aditya goes to Town B (4 , 2)
Distance Aditya Travels = √{(4 - (-4))² + (2 - 4)²}
= √(64 + 4)
= √68
= √2 * √34
√68 > √34
=> Aditya Travels more Distance
A (1 , 7) , B (4 , 2)
D mid point of A & B
= (1 + 4)/2 , (7 + 2)/2
D = 5/2 , 9/2
A (1 , 7) , B (4 , 2) ,C (-4 , 4)
Area of Δ ABC
= (1/2) | 1(2 - 4) + 4 (4 - 7) -4(7 - 2)|
= (1/2) | -2 -12 - 20|
= (1/2) | -34|
= 34/2
= 17
Area of ΔABC = 17 Sq units.
Answer:
HOH
Step-by-step explanation:
Two friends Seema and Aditya work in the same office at Delhi. In the Christmas vacations, both decided to go to their hometowns represented by Town A and Town B respectively in the figure given below. Town A and Town B are connected by trains from the same station C (in the given figure)in Delhi.Based on the given situation, answer the following questions:
*figure
(i) Who will travel more distance, Seema or Aditya, to reach to their hometown?
(ii) Seema and Aditya planned to meet at a location D situated at a point D represented by the mid-point of the line joining the points represented by Town A and Town B. Find the coordinates of the point represented by the point D
(iii) Find the area of the triangle formed by joining the points represented by A, B and C.