Sunday
May 19, 2013

# Homework Help: math

Posted by alandra on Friday, May 18, 2012 at 9:21pm.

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?

• math - Anonymous, Friday, May 18, 2012 at 10:57pm

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

Related Questions

math - M and N are the midpoints of the sides of a square. What is the ratio of ...
math - Area A sequence of smaller squares is formed by connecting the midpoints ...
math - Area A sequence of smaller squares is formed by connecting the midpoints ...
geometry - a large square has sides of 24 units, midpoints of its sides are ...
Geometry - Given: X, Y, and Z are the midpoints of teh sides of triangle ABC. ...
math - Two corresponding sides of similar polygons are in the ratio of 8:7. If ...
Math - The ratio of the perimeters of two similar squares is 5 to 4. If the area...
Math word problem - A small circular pool is enclosed in a square. Find the area...
math - a house has two rooms of equal area. one room is square and the other ...
math - if the sides of a square are increased by 5 cm the area of the new square...