Question

The area of the triangle formed by line 5x-3y+10=0 with coordinate axis will be

Answer 1

I hope it helps you.........

Answer 2

Answer:

Area of Triangle = 3.34

Step-by-step explanation:

We are given a line

5x - 3y + 10 =0

In order to find the area of triangle formed between this line and coordinate axes, we need to find the x and y intercepts first.

To find x intercept put y = 0 into above equation

5x - 3(0) + 10 = 0

5x + 10 = 0

x = -2

So our x intercept -2

To find y intercept put x = 0 into above equation

5(0) - 3y + 10 = 0

-3y+ 10 = 0

y = 10/3

y = 3.34

So our y intercept 3.34

The x intercept represents the base of triangle and y intercept represents the height of triangle

So,

Base = -2 =|-2| = 2

Height = 3.34

So,

Area of Triangle = 0.5(base)(height)

Area of Triangle = 0.5(2)(3.34)

Area of Triangle = 3.34