Geometry
Assignment #18A
Right Triangles 2
30-60-90, 45-45-90
1 – 6: In ABC , mA  30 , and mB  60 .
1. If AB = 16, find AC.
2. If BC = 5, find AB
3. If AB = 20, find BC.
4. If AC  7 3 , find BC.
5. If AC  7 3 , find AB.
6. If BC = 9, find AC.
R1. An official baseball diamond is a square with sides 90 feet long. How far is it from home
plate to second base? Round to the nearest tenth.
R2. In the accompanying diagram, parallel lines AB and CD are
intersected by a transversal at points G and H, respectively.
Find the value of x.
R3. In which of the accompanying figures are segments XY and YZ perpendicular?
(1) Figure 1 only
(2) Both Figure 1 and Figure 2
(3) Figure 2 only
(4) Neither Figure 1 nor Figure 2
R4. In ABC , mA  95 , mB  50 , and mC  35 . Which expression correctly relates the
lengths of the sides of this triangle?
(1) AB < BC < CA
(3) AC < BC < AB
(2) AB < AC < BC
(4) BC < AC <AB
1.
2.
3.
4.
5.
6.
8 3
10
10
7
14
9 3
R1.
R2.
R3.
R4.
127.3
15
2
2
Island Trees Math Department