Sunday, December 9, 2007

Squares in Right Angled Isosceles Triangle




4 comments:

YONG said...
This comment has been removed by the author.
jekin said...

Yong,
you should simplify the answer and leave the ans in surd in its simplest form.

loo said...

1.We cut the triangle.
The green square is 4/9 of the triangle
The yellow square is 1/2 of the triangle
The yellow square is the larger square.
The area of triangle is
72*2=144cm sq
The area of the smaller square is
144*4/9=64cm sq

loo said...

2.We cut the triangle.
The green square is 4/9 of the triangle
The yellow square is 1/2 of the triangle
The yellow square is the larger square

Area of triangle is
4x/4=x
x*x=x sq
x sq*2=2x sq

Perimeter of the smaller square is
2x sq*4/9*=8x sq/9
√(8x sq/9)=(2x√2)/3
(2x√2)/3*4
=(4x√2)/3