Question

The area of the triangle so formed by the line 5x + 2y = 10 and the coordinate axis is ?​

Answer 1

Answer:

2

15

cm

2

In order to find the area of triangle, we need all the coordinates of a triangle.

Draw the graph of 5x−3y=15 on graph.

Let x=0,

5(0)−3y=15

y=−5

So,the first coordinate is (0,−5)

Now, let y=0,

5x−3(0)=15

x=3

So,the second coordinate is (3,0) and third one is origin (0,0).

Area of a triangle =

2

1

(x

1

(y

2

−y

3

)+x

2

(y

3

−y

1

)+x

3

(y

1

−y

2

))=

2

1

(0(0−0)+(3(0−5)+0(5−0))=

2

15

cm

2