000RM.dvi

120 Equilateral triangle in a rectangle

Exercise

1.Show that Area(ABP)+ Area(ADQ)= Area(CPQ).

P

Q

A B

D C

2.Ta ke a 9 × 10 rectangleABCDand obtain the equilateral triangle

AP Qbyfolding.

3.Pis a point in the interior of a rectangleABCD. SupposeAP=a,

BP=b,CP=c. Find the distanceDPin terms ofa,b,c.

P

A

B C

D

4.A pavement of widthdis constructed across a rectangular field of

dimensionsabyb. What is the area of the pavement?

b

a

d

A B

D C

P

Q