Question

The area of the triangle whose sides are
represented by the graphs of the equations y = x.
x = 0 and x + y = 5, is​

Answer 1

Given:

The triangles formed by the equations y = x, x = 0 and x + y = 5

To find:

The area of the triangle formed by the given equations.

Solution:

1) The base of the triangle will be 5 units by putting the x=0 in x+y = 5

2) The intersection value of the equations x+y=5 and x=y is:

• x+x= 5

• 2x = 5

• x = 5/2

• x=2.5

this will be the height of the triangle.

3) The area of the triangle is:

• 1/2×base ×height

• 1/2×5×2.5

• 6.25 square units.                

The area of the triangle formed by the given equations is 6.25