Question
M and N are the midpoints of the sides of a square. What is the ratio of the area of triangle AMN to the area of the complete square?
Answers
Anonymous
Area of a triangle = ( 1 / 2 ) base * heigh
In this case base = heigh = a / 2
A = ( 1 / 2 ) * ( a / 2 ) * ( a / 2 )
A = a ^ 2 / 8
Area of a square = a ^ 2
( a ^ 2 / 8 ) / a ^ 2 = 1 / 8
In this case base = heigh = a / 2
A = ( 1 / 2 ) * ( a / 2 ) * ( a / 2 )
A = a ^ 2 / 8
Area of a square = a ^ 2
( a ^ 2 / 8 ) / a ^ 2 = 1 / 8