Special Right Triangles 300-600-900
Activity
Name_____________
1.
ΔABC is an _______________ triangle.
2.
m∠A = __________
C
m∠B = __________
m∠C = __________
Draw the altitude from
3.
∠C .
B
Mark the interception point D.
Use The Pythagorean Theorem to find the length of CD .
mCD = __________;
4.
A
also
m∠DCB = __________
Repeat the steps and complete the chart for the above triangle and
the following triangles.
TRIANGLE
SHORT LEG
LONG LEG
HYPOTENUSE HYPOTENUSE
SHORT LEG
LONG LEG
SHORT LEG
ABC
MNO
PQR
XYZ
R
O
Z
Q
M
N
P
X
Y
4.
What conjecture can you make about the hypotenuse and the short
leg of a 300-600 right triangle?
Conjecture:
5.
What conjecture can you make about the long leg and the short
leg of a 300-600 right triangle?
Conjecture:
6.
Use you conjectures to find the missing sides to the following 300-600
right triangles.
A)
B)
8
24
C)
9 3
D)
27