MathDB

level A
p1. Construct the following figure where

C_1

C_2

and

C_3

are three circles of radii

3

3

and

2

respectively, tangent to each other. https://cdn.artofproblemsolving.com/attachments/9/7/841f4d087876cdf5cadb3211a1b3409bce42a4.gif
p2. In the figure of the previous problem, find the lengths of

O_3A

and

O_1B

.
p3. Let

ABCD

be a trapezoid with

AB \parallel CD

such that

AB = BC

CD = AC

and

\angle BCD = 60^o

. Find the measure of the angles of the trapezoid

ABCD

.
p4. Construct the figure of the previous problem.

Problem Statement