Question

The area of the triangle formed by the line 5x−3y+15=0 with co
ordinate axes is​

Answer 1

Answer:

15/2cm

Step-by-step explanation:

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 =

= [1/2 (x1(y2 −y3)+x2(y3 −y1 )+x3(y1 −y2 )]

= 1/2(0(0−0)+(3(0−5)+0(5−0))

=15/2cm Squarer