A garden is in the shape of rectangle. Gardener grew sapling of Ashoka tree on the boundary of garden
at the distance of 1 meter from each other. He want to decorate the garden with rose plants. He choose
triangular region inside the park to grow rose plants. On the above situation, gardener took help from the
students of class 10th. They made a chart for it which looks as the above figure.
(i) If A is taken as origin, What are the coordinates of triangle PQR (1 mark)
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(ii) If C is taken as origin, what is the co-ordinate of point P (1 mark)
(iii) If B is taken as origin, what are the co-ordinate of P (1 mark)
(iv) What is distance between P and Q if origin is taken A?
ANSWER IT QUICK PLEASE
Answers
Answer:
A garden is in the shape of a rectangle and where the distance between each tree is 1m.
Step-by-step explanation:
(i) When A is taken as the origin, coordinates of the vertices P, Q and R are,
from above fig:
P=(4,6)
Q=(3,2)
R=(6,5)
where AD is the x-axis and AB is the y-axis.
Area of a triangle=1/2[4(2-5)+3(5-6)+6(6-2)]
=1/2[-12-3+24]
=9/2 sq. units
(ii)When C is taken as the origin, coordinates of the vertices P, Q and R are,
from the above fig:
P=(12,2)
Q=(13,6)
R=(10,3)
where CB is x=-axis and CD is the y-axis.
Area of a triangle=1/2[12(6-3)+13(3-2)+10(2-6)]
=1/2[36+13-40]
=9/2 sq. units
This implies the Area of triangle PQR at the origin A=Area of triangle PQR at origin C
The area is the same in both cases because the triangle remains the same no matter which point is considered as the origin.
Answer:
hi there ..,...
Step-by-step explanation:
here you go
