Printable

2000 AMC 10 Problem 7

Include the solution Back to the problem

2000 AMC 10 Problem 7AMC 10 Step by Step

Name: Date: September 13, 2026

Triangles: Area & Pythagorean · difficulty 2 of 5 · about 3 min · position P1-10

In rectangle $ABCD$ , $AD=1$ , $P$ is on $\overline{AB}$ , and $\overline{DB}$ and $\overline{DP}$ trisect $\angle ADC$ . What is the perimeter of $\triangle BDP$ ?

A)
$3+\frac{\sqrt{3}}{3}$
B)
$2+\frac{4\sqrt{3}}{3}$
C)
$2+2\sqrt{2}$
D)
$\frac{3+3\sqrt{5}}{2}$
E)
$2+\frac{5\sqrt{3}}{3}$

2000 AMC 10 Problem 7

Working