The area of the triangle formed by the x-axis, the y-axis and the line representing x+y=8 is ______ square units
Answers
Answer:
line cut x axis and y axis at (8,0) and (0,8)
height and base both equal to 8
area=1/2*8*8
=32 square unit
Given : triangle formed by the x-axis, the y-axis and the line representing x+y=8
To Find : area of the triangle
Solution:
x axis means y = 0
x + y = 8
=> x = 8
( 8 , 0 ) is intersection the point
y axis means x = 0
x + y = 8
=> y = 8
(0 , 8) is the intersection point
x axis means y = 0
y axis means x = 0
=> ( 0 , 0) is the intersection points
Triangle formed is right angle triangle
with base and height = 8 unit
Area of triangle = (1/2) * base * height
= (1/2) * 8 * 8
= 32 sq units
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