Sunday, December 9, 2007

Squares in Isosceles Triangle
























3 comments:

Lim Chia Wei said...

1. The green square is 4/9 of the triangle while the yellow square is 1/2 of the triangle so the yellow square is the larger square.

Area of 1/2 of the triangle is 72cm sq so area of the whole triangle is 72*2/1=144cm sq

Area of the green circle is 4/9 of the triangle so its area is 144*4/9=64cm sq

jekin said...

Chia Wei.

Good.

Please explain how the areas are 1/2 and 4/9 respectively.

Now consider whether the given triangle,
1. should be isoceles triangle?
2. the triangle should be right angled isosceles triangle?

Lim Chia Wei said...

Dear teacher,

Just divide the triangle into parts of equal area.