Math, asked by babu8527, 10 months ago

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.


amitnrw: Figure Please

Answers

Answered by amitnrw
25

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.

Attachments:
Answered by amogan2005
2

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.

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