Math, asked by ashokpatel75336, 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: and what is formula​

Answers

Answered by amitnrw
8

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.

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