Amc 10b problem 8 choose the answer which consistent

2011 AMC 10B, Problem #8—
“Choose the answer which consistent with all three possibilities.”
Difficulty: Medium Easy
CCSS-M: Not applicable.
8

The area of △ EBD is one third of the area of 3 – 4 – 5
△ ABC . Segment DE is perpendicular to segment AB . What
is BD ?
A
B
C
D
E
3
4
5
√
3 5
2011 AMC 10B, Problem #9—
“What is the area of △ EBD ?”
3
.
Difficulty: Medium
CCSS-M: G-SRT.2. Given two figures, use the definition of similarity in terms of similarity transformations
to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles
as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of
sides.
9

Consider the set of numbers { 1 , 10 , 10
2
, 10
3
, . . . , 10
10
} . The
ratio of the largest element of the set to the sum of the other
ten elements of the set is closest to which integer?
(E) 101
2011 AMC 10B, Problem #10—
“What is the sum of the smallest ten elements?”
10