Draw the graph of the equation y=x ,y=0 and 2x+2y=20.hence, determine the area of the triangle formed by these three lines
Answers
Answer:
The area of the triangle formed is 25 square units.
Step-by-step explanation:
Solving equation y=x and y=0, we get, x=0,
hence, first vertex of the triangle is (0,0)
Again, solving y=x and 2x+2y=20, we get, 2x=10 which gives x=5, then y=5.
Therefore, second vertex is (5,5)
Lastly from y=0 and 2x+2y=20, we get, (10,0)
Therefore, Area = 25 square units.
Answer: Area of triangle = 25 square units.
Concept: Area of triangle = (base*height)/2
Given: Equations of lines
y = x
y = 0
2x + 2y = 20
To find: Area of triangle formed by these three lines.
Step-by-step explanation:
Equations of lines
y = x
y = 0
2x + 2y = 20
y = x
y = 0
Hence we get one vertex of triangle as A = (0,0)
2x + 2y = 20
y = x
solving both equations
we get
2x + 2x = 20
4x = 20
x = 5
y = 5
Hence we get one vertex of triangle as B = (5,5)
2x + 2y = 20
y = 0
solving both equations we get
2x = 20
x = 10
y = 0
Hence we get one vertex of triangle as C = (10,0)
we have triangle ABC with vertices
A = (0,0)
B = (5,5)
C = (10,0)
By plotting points on graph we get triangle with
height (h) = 5
base (b) = 10
Area of triangle = (base*height)/2
Area of triangle = (10*5)/2
Area of triangle = 50/2
Area of triangle = 25 square units.
Answer: Area of triangle = 25 square units.
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