Question

Draw the graph of the equation x + y = 4 and answer the following questions:

1. Which type of triangle is formed by the line with X and Y-axes based on its sides.
2. Find the area of that triangle.

Answer 1

a. The triangle formed by the line x + y = 4 with the X and Y axes is an Isosceles Right-angled Triangle because both the base and height are equal (4 units each).

b. l = 4 and b = 4

Area of triangle = `1/2 xx l xx b`

= `1/2 xx 4 xx 4`

= 8 sq. units

Graph:

x	0	2	4
y	4	2	0
(x, y)	(0, 4)	(2, 2)	(4, 0)